(a)
To find: the length of
(a)
Answer to Problem 11STP
Thelength of
The length of
Explanation of Solution
Given:
Calculation:
The objective of the question is to determine the measure of the sides of a
Given the two points
The triangle is as given in the diagram.
The objective of the question is to determine the measure of the sides of a triangle whose coordinates are given.
Observe the positions of the coordinates and find out the coordinates of each point of the triangle
For example point R is 2 unit to the right of origin and 4 units upwards. Hence its coordinates will be (2,4)
Similarly, S(3,-3) and T(-4,-2)
The coordinates are
Apply distance formula by keeping the values of the two coordinates
Hence
For Side RT
Similarly
Conclusion:
Hence, the length of
(b)
To classify:the triangle by its angles and sides.
(b)
Answer to Problem 11STP
It is an isosceles triangle.
Explanation of Solution
From part a, the length of
Two sides are equal in the triangle.
Hence it is an isosceles triangle.
(b)
To find: perimeter of the triangle.
(b)
Answer to Problem 11STP
The perimeter is 22.64 units.
Explanation of Solution
Calculation:
The perimeter of the triangle will be equal to the sum of all sides.
Thus perimeter
Substitute the values of
Conclusion:
Therefore, the perimeter is 22.64 units.
Chapter 10 Solutions
Pre-Algebra, Student Edition
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