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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1 Answer
Nov 30, 2017

76.25cm

Explanation:

In the picture, we see two right triangles. The larger one has sides 122,195, and 152. The smaller one has sides x,15257, 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 15257 to find out that the base of the smaller right triangle is 95cm

We can know find the ratio between the bottom base of the two right triangles.
Therefore, 95152=x122
Solving this equation, we get:
95152=x122
11590=152x
76.25=x
We have the answer!