Sara was helping her father assemble a slide for the local park. He decides to reinforce the slide with an extra support beam. How long should the extra support beam be? (Image included)

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Sara was helping her father assemble a slide for the local park. He decides to reinforce the slide with an extra support beam. How long should the extra support beam be? (Image included)

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Answer 1 · 2017-11-30T21:09:19

76.25cm

Explanation:

In the picture, we see two right triangles. The larger one has sides $122, 195$ $122,195$ , and $152$ $152$ . The smaller one has sides $x, 152 - 57$ $x, 152-57$ , and the unknown hypotenuse.
We know these triangles are similar, since they both share a right angle and the corresponding angle across the right angle.

We also know the base of the smaller right triangle. We do the subtraction of $152 - 57$ $152-57$ to find out that the base of the smaller right triangle is $95 c m$ $95cm$

We can know find the ratio between the bottom base of the two right triangles.
Therefore, $\frac{95}{152} = \frac{x}{122}$ $95/152=x/122$
Solving this equation, we get:
$\frac{95}{152} = \frac{x}{122}$ $95/152=x/122$
$11590 = 152 x$ $11590=152x$
$76.25 = x$ $76.25=x$
We have the answer!

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Sara was helping her father assemble a slide for the local park. He decides to reinforce the slide with an extra support beam. How long should the extra support beam be? (Image included)

1 Answer

Explanation:

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