Question

Which best explains why this triangle is or is not a right triangle?

A triangle has side lengths 60 inches, 144 inches, 156 inches.

A. This triangle is not a right triangle: 156 squared + 60 squared not-equals 144 squared.

B.This triangle is not a right triangle: 156 squared + 144 squared not-equals 60 squared.

C.This triangle is a right triangle: 60 squared + 156 squared = 144 squared



D.This triangle is a right triangle: 60 squared + 144 squared = 156 squared.

Answer 1

Answer:

The main reason is pythagoras theorem for right angle triangle

The rule tells that (hypo)^ 2 == (base)^2 × (height )^2

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Answer 2

Answer:

D.This triangle is a right triangle: 60 squared + 144 squared = 156 squared.

Step-by-step explanation:

As per question

the best explanation for why a triangle is right triangle or not right triangle is depends on the Pythagoras Theorem.

Pythagoras Theorem state

P² + B² = H²

Alawys P and B are less than H .

Where,

P = Perpendicular

B = Base

H = Hypotenuse.

In option (A) , (B) and (C) the H is not greater than P and B.

Therefore, option (D) is correct

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