Question

Please help!

Use the triangle below to solve for X. Then put the sides in order from least to greatest.
X=10,UP...IP...IU
X=16, IU... IP...UP
X=20, IU...UP...IP

Answer 1

The lengths of the sides of a triangle are in the same order of size as the measures of the opposite angles.

The measures of the interior angles of a triangle add up to 180.

5x + 2x + 3 + 3x + 17 = 180
10x + 20 = 180
10x = 160
x = 16

m<I = 5x = 5 * 16 = 80
m<P = 2x + 3 = 2 * 16 + 3 = 35
m<U = 3x + 17 = 3 * 16 + 17 = 65

x = 16

IU < IP < UP