Question

Triangle STV has side lengths of 7, 11, and 14 units. Determine whether this triangle is a right triangle.

Answer 1

The triangle STV is not a right angled triangle.

Explanation:

Given that STV is a triangle with side lengths of 7, 11 and 14 units

We need to determine that STV is a right angled triangle.

Using Pythagorean theorem, we have,

$c^2=a^2+b^2$

where $c=14, a=7$ and $b=11$

Substituting the values in the above formula, we have,

$14^2=7^2+11^2$

Squaring the terms, we get,

$196=49+121$

$196=170$

Since, both sides of the equation are not equal, then the triangle STV is not a right angled triangle.