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What is the unknown side length, p, in the triangle shown below? ​

What is the unknown side length, p, in the triangle shown below? ​-example-1
User Qwww
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Answer:

9

Explanation:

To solve this, you need to find the proportion.

p is a leg of the large triangle, and the leg to the small triangle is 6.

8 is another leg of the small triangle, and 8+4 is the leg of the large triangle.

So
(small triangle)/(big triangle) = (small triangle)/(big triangle\\)


(8)/(12) =(6)/(p)


(2)/(3) =(6)/(p)

cross multiply to get 2p=18

divide both sides by 2

p=9.

User Zuddsy
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