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What is the value of m in the figure below? If necessary,round your answer to the nearest tenth of a unit

What is the value of m in the figure below? If necessary,round your answer to the-example-1
User Eyllanesc
by
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1 Answer

1 vote

Answer:

D

Explanation:

It turns out from similar triangles, that 7/BD = BD / 18. Use triangles ABD and BDC to show this relationship. Solving this equation will give you BD

BD^2 = 7*18

BD^2 = 126 Just leave it in this form. Do your rounding at the end.

Because triangle BDC is a right angle triangle, use the Pythagorean Theorem to solve for m

m^2 = BD^2 + 7^2

m^2 = 126 + 49

m^2 = 175 Take the square root of both sides.

sqrt(m^2) = sqrt(175)

m = 13.22

so the answer is D

User Yngling
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