Given a right triangle, where the cathetuses are 1cm and sqrt3 cm. Find th

iohanetc 2021-10-23 Answered

Given a right triangle, where the cathetuses are 1cm and \(\sqrt3\) cm. Find the hypothenuse's length.

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Expert Answer

Nola Robson
Answered 2021-10-24 Author has 5953 answers
The Pythagorean Theorem:
\(\displaystyle{a}^{{2}}+{b}^{{2}}={c}^{{2}}\)
Where a and b are cathetuses and c is the hypothenuse. Substitute from the given:
\(\displaystyle{c}^{{2}}={1}^{{2}}+{\left(\sqrt{{3}}\right)}^{{2}}\)
\(\displaystyle{c}=\sqrt{{{1}+{3}}}\)
\(\displaystyle{c}=\sqrt{{4}}\)
c=2
The hypothenuse's length is 2cm.
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