Question

Find the missing side of the triangle. Leave the answer in simplest radical form.

Answer 1

This is a middle school problem, so I am not going to do the trigonomic way. For this you just use the Pythagorean Theorem (a^2+b^2=c^2)

So: 4^2 + 9^2= c^2

16 + 81= c^2

97=c^2

sqrt(97)

c=9.8

The length of the hypotenuse is 9.8 or 10.

But you want it in simpliest radical form so it is:

sqrt(97)

Answer 2

sqrt(97)

Explanation:

By Pythagorean theorem, a^2 + b^2 = c^2, so in this case, 4^2 + 9^2 = x^2, or 16 + 81 = x^2, or 97 = x^2, so x = sqrt(97).