Question

Geometry! Please help!!

Answer 1

Problem One
Find AM
AM = 71.5 - 22 = 49.5

Step Two
State the Givens.
AM = 49.5
MN = 71.5
MB = x
MP = 97.5

Step Three
Set up the Proportion

AM : NM :: x : PM
49.5 : 71.5 :: x : 97.5

Substitute and solve
49.5 / 71.5 = x / 97.5    Cross Multiply
49.5 * 97.5 = 71.5 * x   Combine the numbers on the left.
4860.375 = 71.5 * x     Divide by 71.5
4860.375 / 71.5 = x      
x = 67.98

Problem Two
Remark
This is just a straight application of the Pythagorean Theorem
a^2 + b^2 = c^2
a = 10
b = 24
c = ??

10^2 + 24^2 = c^2
100 + 576 = c^2
676 = c^2
sqrt(c^2) = sqrt(676)
c = 26  <<<< answer