How do i do this question?

The length of BC = 72

Solution:

Given ΔABC and ΔDEF are similar triangles.

ΔABC ΔDEF

AB = 54, BC = n, EF = 12, DE = 9

Similar triangle theorem:

If two triangles are similar then the corresponding sides are proportional to each other.

Substitute the given values, we get

Do cross multiplication.

Divide both sides of the equation by 9.

⇒ BC = 72

Option B is the correct answer.

The length of BC = 72.

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