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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 class=

Sagot :

Answer:

9

Step-by-step 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 [tex]\frac{small triangle}{big triangle} = \frac{small triangle}{big triangle\\}[/tex]

[tex]\frac{8}{12} =\frac{6}{p}[/tex]

[tex]\frac{2}{3} =\frac{6}{p}[/tex]

cross multiply to get 2p=18

divide both sides by 2

p=9.

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