A triangle has side measures of 8, 13, 15. Are these the measures of a RIGHT Triangle?

No.

Step-by-step explanation:

Since we know the side lengths of the triangle, we can figure out whether or not this is a Pythagorean triple.

Pythagorean theorem: a^2 + b^2 = c^2

a and b are both smaller than c.

So,

8^2 = 64.

13^2 = 169.

15^2 = 225.

64 + 169 = 233.

233 is not equal to 225.

Therefore, this is not a right triangle.

step-by-step explanation:

we have

using a graphing tool

see the attached figure

this is a quadratic equation (vertical parabola) open up

the vertex is a > vertex

the domain of the function is all real > interval (-∞,∞)

the range of the function is the > [-6.125,∞)

the function has two x->   and

the function is increasing over the > (0.25,∞)

the function is decreasing over the > (-∞,0.25)