Respuesta :

Answer:

No, it is not a right triangle.

Step-by-step 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

[tex]a^2 +b^2 =c^2\\[/tex]

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,

[tex](10)^2 +(7)^2 = (15)^2[/tex]

100 + 49 = 225

149 = 225

[tex]149 \neq 225[/tex]

So, the given triangle is not a right triangle.