Triangle P R Q is shown. The length of side P R is 5 n. The length of side R Q is 32 + n. Angles R P Q and P Q R are congruent. What is the length of PR?
2 answers:
Answer:
<h3>20</h3>
Step-by-step explanation:
According to Triangle P R Q, if angles R P Q and P Q R are congruent, this means that two of the sides of the triangle a re also congruent (Isosceles triangle).
We can say then that length of side PR is equal to that of RQ i.e PR = RQ
Given
PR = 5n
RQ = 32+n
Required
Length of PR
Since the two sides are equal i.e PR = RQ
5n = 32+n
5n - n = 32
4n = 32
n = 32/8
n = 4
Get PR;
Since PR = 5n
PR = 5(4)
PR = 20
Hence the length of PR is 20.
Answer:
40
Step-by-step explanation:
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