Question

In triangle ABC, m∠C = 90°, c = 17, and a = 8, then which of the following is the measure of side b?

Answer 1

Side b should equal 15. 

Answer 2

Answer:

Measure of side b = 15.

Step-by-step explanation:

Given that a triangle ABC, whose one angle is 90 degree.

∠C = 90

In triangle ΔABC,

a, b, c are opposite sides of ∠A, ∠B, ∠C respectively.

a = 8 (leg)

c = 17 (hypotenuse longest side)

b = ?

According to Pythagoras theorem,

a² + b² = c²

8² + b² = 17²

64 + b² = 289

b² = 289 - 64

b² = 225

take square root both the side.

b = √225

b = 15.

So, Measure of side b = 15

That's the final answer.