Question

Use the Pythagorean Theorem to determine if a triangle with side lengths √2 ft., √3 ft., √5ft. is a right triangle.

A:) Yes it is a right triangle
B:) No it is not a right triangle

Answer 1

A:) Yes it is a right triangle

Explanation:

`~~~~\left(√(5) \right)^2= \left(√(2) \right)^2+\left(√(3) \right)^2\\\\\implies 5=2+3\\\\\implies 5=5`

Answer 2

A

Explanation:

using the converse of Pythagoras' identity

If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.

longest side =
`√(5)` , and (
`√(5)` )² = 5

(
`√(2)` )² + (
`√(3)` )² = 2 + 3 = 5

Thus the 3 sides form a triangle