Question

Use the Pythagorean Theorem to find the length of the missing side of a right triangle whose legs equal √2 and 2√15.
a right triangle with legs as 2 square root of 15 and square root of 2.
A. 64
B. 4 + 2√15
C. 8
D. None of the above

Answer 1

Well, by Pythagorean Theorem, the square of the hypotenuse is the sum of the squares of the two legs:
\[a^2+b^2=c^2\] for legs a,b and hypotenuse c

You have \(a=\sqrt{2}\) and \(b = 2\sqrt{15}\) (or vice versa), what do you get when you square them and add them together? Take the square root of the result to find the length of the hypotenuse.

Answer 2

I would call this a bit of a trick question, so do your work carefully!