Geometry Questions

Question

Solve the following problems:

Chapter Reference

b

Given: MNFD is a trapezoid. 

    

MF

⊥

ND

, 

NK

 ⊥ 

MD

  

    NK = h, MN = FD.

    Find: Area of MNFD

*An isosceles trapezoid ABCD has bases AD = 17cm, BC = 5cm, and leg AB = 10 cm. A line is drawn through vertex B so that it bisects diagonal 

AC

  and intersect 

AD

  at point M. Find the area of ΔBDM. What is the area of ABCD?

Answer 1

The 17-5=12 , so each overhang is 6...

pythagorean says the height is sqrt(10^2 - 6^2) = sqrt(100-36) = sqrt(64) = 8

the area is 1/2 * 8 * (5+17) = 88