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Determine the length of the unknown side given: abc ~efg

Determine the length of the unknown side given: abc ~efg-example-1

1 Answer

2 votes

Answer:

20

Explanation:

Given that the triangles are similar, we know that the corresponding side lengths should all have similar ratios.

This means that ab/ef = bc/fg = ca/ge as they're corresponding.

We know that ge = 8, ca = 4, ab = 10 and we want to find ef

Remember ab/ef = ca/ge so 10/ef = 4/8

4/8 = 10/ef

==> cross multiply

80 = 4ef

==> divide both sides by 4

20 = ef

We can test our answer by seeing if the ratios are the same

ab/ef = 4/8 = 1/2

ca/ge = 10/20 = 1/2

The ratios are the same, therefore our answer is correct.

User Borchero
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