Pre-Algebra Student Edition
1st Edition
ISBN: 9780078957734
Author: Glencoe/McGraw-Hill
Publisher: MCG
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Question
Chapter 10.6, Problem 19PPS
(a)
To determine
To find: the hypotenuse of isosceles right
(a)
Expert Solution
Answer to Problem 19PPS
| S.no | Side | Hypotenuse |
| 1 | 1 | 1.41 |
| 2 | 2 | 2.82 |
| 3 | 3 | 4.23 |
| 4 | 4 | 5.64 |
| 5 | 5 | 7.05 |
Explanation of Solution
Given:
Length of leg: 1, 2, 3, 4 and 5
Calculation:
Clearly the isosceles right angled triangle will be a 45°, 45° & 90°triangle
In a right angled triangle with angle measures of 45°, 45°&90° two legs ( a ) will be same and the hypotenuse will be given by the term
The value of hypotenuse with respect of sides is given in table below.
| S.no | Side | Hypotenuse |
| 1 | 1 | 1.41 |
| 2 | 2 | 2.82 |
| 3 | 3 | 4.23 |
| 4 | 4 | 5.64 |
| 5 | 5 | 7.05 |
Conclusion:
Therefore, the hypotenuse of triangle is,
| S.no | Side | Hypotenuse |
| 1 | 1 | 1.41 |
| 2 | 2 | 2.82 |
| 3 | 3 | 4.23 |
| 4 | 4 | 5.64 |
| 5 | 5 | 7.05 |
(b)
To determine
To graph: the points and todescribe the pattern of the points.
(b)
Expert Solution
Answer to Problem 19PPS
Explanation of Solution
Calculation:
It is clear that, if the sides of a triangle increase, the hypotenuse will also increase.
Thus, linear pattern of graph is obtained.
Conclusion:
Thus, the graph is drawn.
(c)
To determine
To write: an equation for the hypotenuse
(c)
Expert Solution
Answer to Problem 19PPS
An equation of hypotenuse is
Explanation of Solution
Calculation:
The relation between side and hypotenuse of a 45°, 45°& 90° triangle is given by
Generalizing it, it can be said that if x and y are sides and hypotenuse then
Conclusion:
Thus, an equation of hypotenuse is
Chapter 10 Solutions
Pre-Algebra Student Edition
Ch. 10.1 - Prob. 1AGPCh. 10.1 - Prob. 1BGPCh. 10.1 - Prob. 1CGPCh. 10.1 - Prob. 1DGPCh. 10.1 - Prob. 2AGPCh. 10.1 - Prob. 2BGPCh. 10.1 - Prob. 3AGPCh. 10.1 - Prob. 3BGPCh. 10.1 - Prob. 4AGPCh. 10.1 - Prob. 4BGP
Ch. 10.1 - Prob. 4CGPCh. 10.1 - Prob. 4DGPCh. 10.1 - Prob. 5GPCh. 10.1 - Prob. 1CYUCh. 10.1 - Prob. 2CYUCh. 10.1 - Prob. 3CYUCh. 10.1 - Prob. 4CYUCh. 10.1 - Prob. 5CYUCh. 10.1 - Prob. 6CYUCh. 10.1 - Prob. 7CYUCh. 10.1 - Prob. 8CYUCh. 10.1 - Prob. 9CYUCh. 10.1 - Prob. 10CYUCh. 10.1 - Prob. 11PPSCh. 10.1 - Prob. 12PPSCh. 10.1 - Prob. 13PPSCh. 10.1 - Prob. 14PPSCh. 10.1 - Prob. 15PPSCh. 10.1 - Prob. 16PPSCh. 10.1 - Prob. 17PPSCh. 10.1 - Prob. 18PPSCh. 10.1 - Prob. 19PPSCh. 10.1 - Prob. 20PPSCh. 10.1 - Prob. 21PPSCh. 10.1 - Prob. 22PPSCh. 10.1 - Prob. 23PPSCh. 10.1 - Prob. 24PPSCh. 10.1 - Prob. 25PPSCh. 10.1 - Prob. 26PPSCh. 10.1 - Prob. 27PPSCh. 10.1 - Prob. 28PPSCh. 10.1 - Prob. 29PPSCh. 10.1 - Prob. 30PPSCh. 10.1 - Prob. 31PPSCh. 10.1 - Prob. 32PPSCh. 10.1 - Prob. 33PPSCh. 10.1 - Prob. 34PPSCh. 10.1 - Prob. 35PPSCh. 10.1 - Prob. 36PPSCh. 10.1 - Prob. 37PPSCh. 10.1 - Prob. 38PPSCh. 10.1 - Prob. 39PPSCh. 10.1 - Prob. 40HPCh. 10.1 - Prob. 41HPCh. 10.1 - Prob. 42HPCh. 10.1 - Prob. 43HPCh. 10.1 - Prob. 44STPCh. 10.1 - Prob. 45STPCh. 10.1 - Prob. 46STPCh. 10.1 - Prob. 47STPCh. 10.1 - Prob. 48SRCh. 10.1 - Prob. 49SRCh. 10.1 - Prob. 50SRCh. 10.1 - Prob. 51SRCh. 10.1 - Prob. 52SRCh. 10.1 - Prob. 53SRCh. 10.1 - Prob. 54SRCh. 10.1 - Prob. 55SCh. 10.1 - Prob. 56SCh. 10.1 - Prob. 57SCh. 10.1 - Prob. 58SCh. 10.1 - Prob. 59SCh. 10.1 - Prob. 60SCh. 10.1 - Prob. 61SCh. 10.1 - Prob. 62SCh. 10.2 - Prob. 1AGPCh. 10.2 - Prob. 1BGPCh. 10.2 - Prob. 1CGPCh. 10.2 - Prob. 1DGPCh. 10.2 - Prob. 2GPCh. 10.2 - Prob. 3GPCh. 10.2 - Prob. 4AGPCh. 10.2 - Prob. 4BGPCh. 10.2 - Prob. 5GPCh. 10.2 - Prob. 1CYUCh. 10.2 - Prob. 2CYUCh. 10.2 - Prob. 3CYUCh. 10.2 - Prob. 4CYUCh. 10.2 - Prob. 5CYUCh. 10.2 - Prob. 6CYUCh. 10.2 - Prob. 7CYUCh. 10.2 - Prob. 8CYUCh. 10.2 - Prob. 9CYUCh. 10.2 - Prob. 10CYUCh. 10.2 - Prob. 11CYUCh. 10.2 - Prob. 12CYUCh. 10.2 - Prob. 13CYUCh. 10.2 - Prob. 14PPSCh. 10.2 - Prob. 15PPSCh. 10.2 - Prob. 16PPSCh. 10.2 - Prob. 17PPSCh. 10.2 - Prob. 18PPSCh. 10.2 - Prob. 19PPSCh. 10.2 - Prob. 20PPSCh. 10.2 - Prob. 21PPSCh. 10.2 - Prob. 22PPSCh. 10.2 - Prob. 23PPSCh. 10.2 - Prob. 24PPSCh. 10.2 - Prob. 25PPSCh. 10.2 - Prob. 26PPSCh. 10.2 - Prob. 27PPSCh. 10.2 - Prob. 28PPSCh. 10.2 - Prob. 29PPSCh. 10.2 - Prob. 30PPSCh. 10.2 - Prob. 31PPSCh. 10.2 - Prob. 32PPSCh. 10.2 - Prob. 33PPSCh. 10.2 - Prob. 34PPSCh. 10.2 - Prob. 35PPSCh. 10.2 - Prob. 36PPSCh. 10.2 - Prob. 37PPSCh. 10.2 - Prob. 38PPSCh. 10.2 - Prob. 39PPSCh. 10.2 - Prob. 40PPSCh. 10.2 - Prob. 41PPSCh. 10.2 - Prob. 42PPSCh. 10.2 - Prob. 43PPSCh. 10.2 - Prob. 44PPSCh. 10.2 - Prob. 45PPSCh. 10.2 - Prob. 46PPSCh. 10.2 - Prob. 47PPSCh. 10.2 - Prob. 48PPSCh. 10.2 - Prob. 49PPSCh. 10.2 - Prob. 50PPSCh. 10.2 - Prob. 51PPSCh. 10.2 - Prob. 52PPSCh. 10.2 - Prob. 53HPCh. 10.2 - Prob. 54HPCh. 10.2 - Prob. 55HPCh. 10.2 - Prob. 56HPCh. 10.2 - Prob. 57HPCh. 10.2 - Prob. 58HPCh. 10.2 - Prob. 59HPCh. 10.2 - Prob. 60STPCh. 10.2 - Prob. 61STPCh. 10.2 - Prob. 62STPCh. 10.2 - Prob. 63STPCh. 10.2 - Prob. 64SRCh. 10.2 - Prob. 65SRCh. 10.2 - Prob. 66SRCh. 10.2 - Prob. 67SRCh. 10.2 - Prob. 68SRCh. 10.2 - Prob. 69SRCh. 10.2 - Prob. 70SRCh. 10.2 - Prob. 71SRCh. 10.2 - Prob. 72SRCh. 10.2 - Prob. 73SRCh. 10.2 - Prob. 74SRCh. 10.2 - Prob. 75SCh. 10.2 - Prob. 76SCh. 10.2 - Prob. 77SCh. 10.2 - Prob. 78SCh. 10.2 - Prob. 79SCh. 10.2 - Prob. 80SCh. 10.3 - Prob. 1GPCh. 10.3 - Prob. 2GPCh. 10.3 - Prob. 3GPCh. 10.3 - Prob. 4AGPCh. 10.3 - Prob. 4BGPCh. 10.3 - Prob. 1CYUCh. 10.3 - Prob. 2CYUCh. 10.3 - Prob. 3CYUCh. 10.3 - Prob. 4CYUCh. 10.3 - Prob. 5CYUCh. 10.3 - Prob. 6PPSCh. 10.3 - Prob. 7PPSCh. 10.3 - Prob. 8PPSCh. 10.3 - Prob. 9PPSCh. 10.3 - Prob. 10PPSCh. 10.3 - Prob. 11PPSCh. 10.3 - Prob. 12PPSCh. 10.3 - Prob. 13PPSCh. 10.3 - Prob. 14PPSCh. 10.3 - Prob. 15PPSCh. 10.3 - Prob. 16PPSCh. 10.3 - Prob. 17PPSCh. 10.3 - Prob. 18PPSCh. 10.3 - Prob. 19PPSCh. 10.3 - Prob. 20PPSCh. 10.3 - Prob. 21PPSCh. 10.3 - Prob. 22PPSCh. 10.3 - Prob. 23PPSCh. 10.3 - Prob. 24PPSCh. 10.3 - Prob. 25PPSCh. 10.3 - Prob. 26PPSCh. 10.3 - Prob. 27PPSCh. 10.3 - Prob. 28PPSCh. 10.3 - Prob. 29PPSCh. 10.3 - Prob. 30PPSCh. 10.3 - Prob. 31PPSCh. 10.3 - Prob. 32PPSCh. 10.3 - Prob. 33PPSCh. 10.3 - Prob. 34PPSCh. 10.3 - Prob. 35HPCh. 10.3 - Prob. 36HPCh. 10.3 - Prob. 37HPCh. 10.3 - Prob. 38HPCh. 10.3 - Prob. 39HPCh. 10.3 - Prob. 40STPCh. 10.3 - Prob. 41STPCh. 10.3 - Prob. 42STPCh. 10.3 - Prob. 43STPCh. 10.3 - Prob. 44SRCh. 10.3 - Prob. 45SRCh. 10.3 - Prob. 46SRCh. 10.3 - Prob. 47SRCh. 10.3 - Prob. 48SRCh. 10.3 - Prob. 49SRCh. 10.3 - Prob. 50SRCh. 10.3 - Prob. 51SRCh. 10.3 - Prob. 52SRCh. 10.3 - Prob. 53SCh. 10.3 - Prob. 54SCh. 10.3 - Prob. 55SCh. 10.3 - Prob. 56SCh. 10.4 - Prob. 1GPCh. 10.4 - Prob. 2GPCh. 10.4 - Prob. 3GPCh. 10.4 - Prob. 4AGPCh. 10.4 - Prob. 4BGPCh. 10.4 - Prob. 1CYUCh. 10.4 - Prob. 2CYUCh. 10.4 - Prob. 3CYUCh. 10.4 - Prob. 4CYUCh. 10.4 - Prob. 5CYUCh. 10.4 - Prob. 6CYUCh. 10.4 - Prob. 7CYUCh. 10.4 - Prob. 8CYUCh. 10.4 - Prob. 9PPSCh. 10.4 - Prob. 10PPSCh. 10.4 - Prob. 11PPSCh. 10.4 - Prob. 12PPSCh. 10.4 - Prob. 13PPSCh. 10.4 - Prob. 14PPSCh. 10.4 - Prob. 15PPSCh. 10.4 - Prob. 16PPSCh. 10.4 - Prob. 17PPSCh. 10.4 - Prob. 18PPSCh. 10.4 - Prob. 19PPSCh. 10.4 - Prob. 20PPSCh. 10.4 - Prob. 21PPSCh. 10.4 - Prob. 22PPSCh. 10.4 - Prob. 23PPSCh. 10.4 - Prob. 24PPSCh. 10.4 - Prob. 25PPSCh. 10.4 - Prob. 26PPSCh. 10.4 - Prob. 27PPSCh. 10.4 - Prob. 28PPSCh. 10.4 - Prob. 29PPSCh. 10.4 - Prob. 30PPSCh. 10.4 - Prob. 31PPSCh. 10.4 - Prob. 32PPSCh. 10.4 - Prob. 33PPSCh. 10.4 - Prob. 34HPCh. 10.4 - Prob. 35HPCh. 10.4 - Prob. 36HPCh. 10.4 - Prob. 37HPCh. 10.4 - Prob. 38HPCh. 10.4 - Prob. 39STPCh. 10.4 - Prob. 40STPCh. 10.4 - Prob. 41STPCh. 10.4 - Prob. 42STPCh. 10.4 - Prob. 43SRCh. 10.4 - Prob. 44SRCh. 10.4 - Prob. 45SRCh. 10.4 - Prob. 46SRCh. 10.4 - Prob. 47SRCh. 10.4 - Prob. 48SRCh. 10.4 - Prob. 49SRCh. 10.4 - Prob. 50SRCh. 10.4 - Prob. 51SCh. 10.4 - Prob. 52SCh. 10.4 - Prob. 53SCh. 10.5 - Prob. 1GPCh. 10.5 - Prob. 2GPCh. 10.5 - Prob. 3GPCh. 10.5 - Prob. 1CYUCh. 10.5 - Prob. 2CYUCh. 10.5 - Prob. 3CYUCh. 10.5 - Prob. 4CYUCh. 10.5 - Prob. 5CYUCh. 10.5 - Prob. 6PPSCh. 10.5 - Prob. 7PPSCh. 10.5 - Prob. 8PPSCh. 10.5 - Prob. 9PPSCh. 10.5 - Prob. 10PPSCh. 10.5 - Prob. 11PPSCh. 10.5 - Prob. 12PPSCh. 10.5 - Prob. 13PPSCh. 10.5 - Prob. 14PPSCh. 10.5 - Prob. 15PPSCh. 10.5 - Prob. 16PPSCh. 10.5 - Prob. 17PPSCh. 10.5 - Prob. 18PPSCh. 10.5 - Prob. 19PPSCh. 10.5 - Prob. 20PPSCh. 10.5 - Prob. 21PPSCh. 10.5 - Prob. 22PPSCh. 10.5 - Prob. 23PPSCh. 10.5 - Prob. 24PPSCh. 10.5 - Prob. 25PPSCh. 10.5 - Prob. 26PPSCh. 10.5 - Prob. 27HPCh. 10.5 - Prob. 28HPCh. 10.5 - Prob. 29HPCh. 10.5 - Prob. 30HPCh. 10.5 - Prob. 31HPCh. 10.5 - Prob. 32STPCh. 10.5 - Prob. 33STPCh. 10.5 - Prob. 34STPCh. 10.5 - Prob. 35STPCh. 10.5 - Prob. 36SRCh. 10.5 - Prob. 37SRCh. 10.5 - Prob. 38SRCh. 10.5 - Prob. 39SRCh. 10.5 - Prob. 40SCh. 10.5 - Prob. 41SCh. 10.5 - Prob. 42SCh. 10.6 - Prob. 1GPCh. 10.6 - Prob. 2GPCh. 10.6 - Prob. 3GPCh. 10.6 - Prob. 1CYUCh. 10.6 - Prob. 2CYUCh. 10.6 - Prob. 3CYUCh. 10.6 - Prob. 4CYUCh. 10.6 - Prob. 5CYUCh. 10.6 - Prob. 6CYUCh. 10.6 - Prob. 7CYUCh. 10.6 - Prob. 8CYUCh. 10.6 - Prob. 9PPSCh. 10.6 - Prob. 10PPSCh. 10.6 - Prob. 11PPSCh. 10.6 - Prob. 12PPSCh. 10.6 - Prob. 13PPSCh. 10.6 - Prob. 14PPSCh. 10.6 - Prob. 15PPSCh. 10.6 - Prob. 16PPSCh. 10.6 - Prob. 17PPSCh. 10.6 - Prob. 18PPSCh. 10.6 - Prob. 19PPSCh. 10.6 - Prob. 20PPSCh. 10.6 - Prob. 21PPSCh. 10.6 - Prob. 22PPSCh. 10.6 - Prob. 23HPCh. 10.6 - Prob. 24HPCh. 10.6 - Prob. 25HPCh. 10.6 - Prob. 26HPCh. 10.6 - Prob. 27HPCh. 10.6 - Prob. 28STPCh. 10.6 - Prob. 29STPCh. 10.6 - Prob. 30STPCh. 10.6 - Prob. 31STPCh. 10.6 - Prob. 32SRCh. 10.6 - Prob. 33SRCh. 10.6 - Prob. 34SRCh. 10.6 - Prob. 35SRCh. 10.6 - Prob. 36SRCh. 10.6 - Prob. 37SRCh. 10.6 - Prob. 38SRCh. 10.6 - Prob. 39SRCh. 10.6 - Prob. 40SRCh. 10.6 - Prob. 41SCh. 10.6 - Prob. 42SCh. 10.6 - Prob. 43SCh. 10.6 - Prob. 44SCh. 10.6 - Prob. 45SCh. 10.6 - Prob. 46SCh. 10.6 - Prob. 47SCh. 10.6 - Prob. 48SCh. 10 - Prob. 1QCCh. 10 - Prob. 2QCCh. 10 - Prob. 3QCCh. 10 - Prob. 4QCCh. 10 - Prob. 5QCCh. 10 - Prob. 6QCCh. 10 - Prob. 7QCCh. 10 - Prob. 8QCCh. 10 - Prob. 9QCCh. 10 - Prob. 10QCCh. 10 - 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