Question

Given the side lengths of a triangle are 11,32,and 34 do the sides form a right triangle?

1.yes
2.no
3.there is not enough information to determine

Answer 1

Option 2. No

Explanation:

we know that

If the lengths of the given sides of a triangle form a right triangle, then the lengths of the sides must satisfy the Pythagorean Theorem.

so

`c^(2)=a^(2)+b^(2)`

where

c is the greater side

substitute

`34^(2)=11^(2)+32^(2)`

`1,156=1,145` -------> is not true

therefore

Is not a right triangle