(a)One triangle has side lengths 16 , 9, and 8.

Question

Compute the sum of the squares of the shorter lengths.

8^2 + 9^2 =


Compute the square of the longest length.

16^2 =

What kind of triangle is it?
Acute triangle
Right triangle
Obtuse triangle

Answer 1

8^2 + 9^2 = 64 + 81 = 145

16^2 = 256

Since the sum of the squares of the shorter lengths is less than the square of the longest length, this triangle is a right triangle.