Question

Find the length of the third side of the right triangle, if one side = 4sqrt 3, and the hypotenuse = 8.

Non-right triangles and trigonometry
ANSWERED
asked 2021-09-12

Find the length of the third side of the right triangle, if one side = \(\displaystyle{4}\sqrt{{3}}\), and the hypotenuse = \( 8\).

Expert Answers (1)

2021-09-13
Using Pythagoras theorem,
\(\displaystyle{8}^{{2}}={b}^{{2}}+{\left({4}\sqrt{{3}}\right)}^{{2}}\)
\(\displaystyle{b}^{{2}}={8}^{{2}}–{\left({4}\sqrt{{3}}\right)}^{{2}}=\)
\(\displaystyle={64}–{48}={16}\)
\(\displaystyle{b}^{{2}}={16}\)
\(\displaystyle{b}={4}\)
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