45.1k views
5 votes
What is the length of side PR?

A. 8 cm
B. 11 cm
C. V105 cm
D. V176 cm
E. V274 cm

What is the length of side PR? A. 8 cm B. 11 cm C. V105 cm D. V176 cm E. V274 cm-example-1
User Adam Right
by
6.6k points

1 Answer

4 votes

Answer:

D. √176 cm

Explanation:

Were given a right triangle.

PQ = 7 cm

QR = 15 cm

To find the length of side PR, apply Pythagorean theorem, which is c² = a² + b²

Where,

c = hypotenuse/longest side = 15 cm

a = PR

b = 7 cm

Thus:

15² = PR² + 7²

225 = PR² + 49

225 - 49 = PR²

176 = PR²

√176 = PR

PR = √176 cm

User Sachin Tanpure
by
6.6k points