# 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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