(a)
To find: the hypotenuse of isosceles right
(a)
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 graph: the points and todescribe the pattern of the points.
(b)
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 write: an equation for the hypotenuse
(c)
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
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