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Consider the triangles $\triangle FGH$ and $\triangle FIJ$ where $\triangle FGH \sim \triangle FIJ$ . (Note: the figures are not drawn to scale.) Step $1$ of $2$ : Find $x$ . Answer How to enter your answer (opens in new window) $x=$

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Find the roots of factored polynomials

Full solution

Q. Consider the triangles

\triangle FGH

and

\triangle FIJ

where

\triangle FGH \sim \triangle FIJ

. (Note: the figures are not drawn to scale.) Step

1

of

2

: Find

x

. Answer How to enter your answer (opens in new window)

x=

Set Up Proportion: Since the triangles $FGH$ and $FIJ$ are similar, their corresponding sides are proportional. We need to set up a proportion using the sides of the triangles to solve for $x$ .
Assume Triangle Sides: Let's assume the sides of triangle FGH are $a$ , $b$ , and $c$ , and the corresponding sides of triangle FIJ are $k\cdot a$ , $k\cdot b$ , and $k\cdot c$ , where $k$ is the scale factor. We need the lengths to set up the proportion, but they are not provided in the problem statement.

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