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Context:△ABC and △DEF are similar. Find the missing side length.ABCDEF3663455?7(The triangles are not drawn to scale.) Answer question

Question

Context:△ABC and △DEF are similar. Find the missing side length.ABCDEF3663455?7(The triangles are not drawn to scale.) Answer question

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Solution

The triangles are similar, which means their sides are proportional. We can set up a proportion to find the missing side length.

We know that AB/DE = BC/EF.

Substituting the given values, we get 36/45 = 55/x.

To solve for x, cross multiply to get 36x = 45 * 55.

Solving for x, we get x = (45 * 55) / 36 = 68.75.

So, the missing side length is 68.75.

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