Question

1. Identify two different triangles in the image above. Are the triangles similar? Explain your answer

2.create three different proportions that can be used to find BC in the figure above.At least one proportion must include AC as one of the measures.

Answer 1

Explanation:

1. ∆AEB is similar to ∆ADC

L EAB = L DAC

L AEB = L ADC

L ABE = L ADC

2. AE/AD = AB/AC = EB/DC

=> 8/(8+5) = 6.5/AC

8/13 = 6.5/AC

8AC = 13×6.5

AC = 84.5/8

AC = 10.5625

BC = AC -AB

= 10.5625 - 6.5

BC = 4.0625