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amm1812
2 years ago
15

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?
Mathematics
2 answers:
snow_tiger [21]2 years ago
6 0

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.

Debora [2.8K]2 years ago
4 0

Answer:

40

Step-by-step explanation:

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