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Find the length of the hypotenuse of a right triangle whose legs are 5 and squareroot(2). 2squareroot(3) 3squareroot(3) squareroot(29)
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its multiple choice (:
hypothenus are found by Sqrt[x^2+y^2]=h
Sqrt[5^2+(sqrt[2])^2] sqrt[27]
sqrt[27]=3sqrt[3]
\[a^2 + b^2 = c^2\] Where a and b are the length of the legs and c is the length of the hypotenuse. Solve for c.
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sqrt (5^2 + 2)
\[\sqrt{5^2+\sqrt{2}^2}=\sqrt{25+2}=\sqrt{27}\]\]
and since \[27=3^3\] you have \[\sqrt{3^3}=3\sqrt{3}\]
so answer is second one
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