Question

The measures of the sides of a triangle are 56, 90, and 106. Use the Pythagorean Theorem to classify the triangle as acute, obtuse, or right.

Answer 1

It is a right triangle, because 56^2+90^2=11236
the square root or 11236 is 106

all sides match the Pathagorean Theorem

Answer 2

The Pythagorean Theorem only applies to right triangles so if:

106^2=56^2+90^2, then this is a right triangle.

11236=3136+8100

11236=11236

So this is a right triangle.