In a similar triangle the shortest side is 12 and the longest is x.

(a) Write a proportion that models the situation.

(b) Solve the proportion for x.

( The proportion is ? Type an equation. Do not simplify.)

In a similar triangle the shortest side is 12 and the longest is x.

(a) Write a proportion that models the situation.

(b) Solve the proportion for x.

( The proportion is ? Type an equation. Do not simplify.)

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Let's name each side of triangle 1: A = 4, B = 7, and C = 10

The shortest side in a similar triangle is 12, so that would be the same side as A in triangle 1 and the longest is x which is the same side as C in triangle 1.

Therefore, our proportion statement is 4 is to 10 as 12 is to x, or

4 12

___ = ____ which is the **answer to a**

10 x

To solve for x, we cross multiply and we get

4x = (10)(20) or 4x = 120

Divide both side of the equation by 4 to isolate x: x = 120/4, so x = 30 (**the answer to b**)

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