Question

Triangle ABC ~ triangle DEF. Use the image to answer the question.

a triangle ABC with side AC labeled 7.32 and a second triangle DEF with side DE labeled 8.8, side FD labeled 6.1 and side EF labeled 6.4

Determine the length of side AB and BC in triangle ABC.

AB = 10.065, BC = 8.388
AB = 8.8, BC = 6.4
AB = 10.56, BC = 7.68
AB = 7.425, BC = 5.954

Answer 1

AB = 10.56 BC = 7.68

Explanation:

With AC provided, we first have to find the quotient of AC and DF.

AC = 7.32

DF = 6.1

7.32 ÷ 6.1 = 1.2

So AC's dimensions are 1.2 times larger. So we use 1.2 to find AB and BC.

The similar sideline of AB is DE, and DE = 8.8

So we multiply 8.8 by 1.2

8.8 x 1.2 = 10.56

AB = 10.56

We do the same for BC. BC's similar sideline is EF, and EF = 6.4

6.4 x 1.2 = 7.68

BC = 7.68

Therefore AB = 10.56 and BC = 7.68