Question

A triangle with sides of lengths 32,60 and 68 is a right triangle ?

Answer 1

No

Explanation:

A right triangle's sides add up to 180 but adding 32, 60, and 68 only gives you 160. So, no. That triangle is not a right triangle.

I hope I helped ^^

Answer 2

hmmm let's take a peek at the two small sides, 32 and 60, now the largest side 68, the largest one in a right-triangle is the hypotenuse, and now, let's recall the Pythagorean theorem c² = a² + b², so then, 68² = 32² + 60², let's check if that's is true, if it's, then is a right-triangle.

`\bf 68^2=32^2+60^2\implies 4624=1024+3600\implies 4624 = 4624\qquad \textit{\Large \checkmark}`