Question

A triangle has side lengths of 15 10 and 7 is it a right triangle

Answer 1

No, it is not a right triangle.

Explanation:

Given:

The sides of the triangle = 15 10 and 7

To Find:

Whether the triangle is a right triangle = ?

Solution:

According to Pythagorean theorem , In an right triangle the the sum of the squares of the two smaller sides must equal to the square of the larger side

`a^2 +b^2 =c^2\\`

where

a and b are the smaller sides

c is the larger side

Now from the given data, lets assume

a = 10 and b =7 and c =15

Substituting in the above equation we get,

`(10)^2 +(7)^2 = (15)^2`

100 + 49 = 225

149 = 225

`149 \\eq 225`

So, the given triangle is not a right triangle.