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