In the figure below, DK = 10, HK = 3, and GK = 14 is an altitude. Which is the difference between the areas of triangles GKH and GKD?

Answer 49
51
48
52

Question

In the figure below, DK = 10, HK = 3, and GK = 14 is an altitude. Which is the difference between the areas of triangles GKH and GKD?

Answer    49 
   51 
   48 
   52

anonymous · Answer

attachment

anonymous · Answer

area of each triangle = 1/2 * base * altitude
just plug in your values and subtract

anonymous · Answer

1
area of triangleGKH = ---- * base KH * height GK  = 0.5 * 3 * 14 = 21
                                         2

                                         1
area of triangleGKD = ---- * baseDK * height GK = 0.5 * 10 * 14 = 70
                                         2

Difference in areas = 70 - 21 = 49