Question

Given the triangle below, Which of the following equations correctly represents the relationship between a,b and c

Answer 1

The correct answer I believe is D

Answer 2

Option D is correct.

Explanation:

We are given with a right angled triangle.

Measurement of sides of triangle are a , b , c

and measure of ∠C is 90°

We know that we have a relationship between sides and an angle opposite to a side.

This relation is given by LAW OF COSINES.

In given triangle and using law of cosines, we have

b² = a² + c² - 2ac cos B

a² = b² + c² - 2cb cos A

c² = a² + b² - 2ab cos C ⇒ c² = a² + b² - 2ab cos(90°)

Therefore, Option D is correct.