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Find the value of b.a=5 and c = 10A.9.5B.10C.9D.8.7Please can you explain.

Find the value of b.a=5 and c = 10A.9.5B.10C.9D.8.7Please can you explain.-example-1
User TruongSinh
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1 Answer

21 votes
21 votes

D.\:8.7

1) Assuming this is a right triangle, we can find the missing leg by making use of the Pythagorean Theorem.

2) Thus, we can write out this:


\begin{gathered} c^2=a^2+b^2 \\ \\ (10)^2=5^2+b^2 \\ \\ 100=25+b^2 \\ \\ b^2=100-25 \\ \\ b=√(75) \\ \\ b\approx8.7 \end{gathered}

Note that the hypotenuse (the largest side) is always on the left side. And that this is an approximation rounded off to the nearest tenth.

3) Thus, the answer is:


D.\:8.7

User Kdecom
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