Question

Is a triangle with side lengths of 5, 10, and 15 a right triangle? Explain

Answer 1

If triangle is a right triangle we can use Pythagorean theorem, c^2=a^2+b^2
c=15, a=5, b=10
15^2=5^2+10^2
225=25+100
225=125
225 is not equal to 125 therefore, this triangle is not a right triangle.

Answer 2

No, it is not a right triangle.

Explanation:

Using the property of the right triangle, square root (5^2 + 10^2) = 5root(5), and it is not equal to 15, so it is not a right triangle.