Question

A triangle has sides with lengths of 45 feet, 76 feet, and 90 feet. Is it a right triangle?

Yes or No

Answer 1

No

Explanation:

Answer 2

NO

Explanation:

Longest side of the triangle has the length = 90 feet

Other two sides are 45 feet and 76 feet

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

=>
`\[90^(2) = 45^(2) + 76^(2)\]`

Left Hand Side =
`\[90^(2)\]` = 8100

Right Hand Side =
`\[45^(2) + 76^(2)\]`

= 2025 + 5776

= 7801

So the left hand side is not equal to right hand side. The condition for right triangle is NOT satisfied.