Triangles ABC and DEF are similar with CB = 5 and FE = 11. The height of triangle DEF is 14. Find the height of triangle ABC. Round your answer to the nearest tenth.
A) 3.9
B) 30.8
C) 8.8
D) 6.4
E) 7.9

Question

Triangles ABC and DEF are similar with CB = 5 and FE = 11.  The height of triangle DEF is 14. Find the height of triangle ABC. Round your answer to the nearest tenth.
A) 3.9 
B) 30.8 
C) 8.8 
D) 6.4 
E) 7.9

Quizplus · Accepted Answer

Since triangles ABC and DEF are similar, their corresponding sides are proportional. Let x be the height of triangle ABC. Then:

5/x = 11/14

Solving for x, we get:

x = 5 * 14 / 11 = 6.4

Rounding to the nearest tenth, we get 6.4. Therefore, the answer is D.

Triangles ABC and DEF Are Similar with CB = 5