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Please help! I know it’s a lot to ask but please show your work so I know how you did it

Please help! I know it’s a lot to ask but please show your work so I know how you-example-1
User TrieuNomad
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Take a look at the pic to see how I did the work here.
Please help! I know it’s a lot to ask but please show your work so I know how you-example-1
User Chris Murphy
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3 votes

Answer:

√15

Explanation:

Because x is an altitude, the largest triangle is similar to both the triangle on the left half and the triangle on the right half.

The ratio of 3 to x is equal to the ratio of x to 5 (because the triangles are similar, as stated earlier)

You write the following equation to represent it:


(3)/(x)=(x)/(5), which (when the denominators are multiplied) results in:


15 = x^(2)

Which makes x = √15

User Bruny
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