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Use the Pythagorean Theorem: \(\Large a^2+b^2=c^2\) where c is the length of the hypotenuse and a and b are the lengths of the legs. You know the hypotenuse is 15. And since this is an isosceles triangle, you know that the legs are the same length. That means you can do this: \(\Large a^2+b^2=c^2\rightarrow a^2+(a)^2=c^2\rightarrow 2a^2=c^2\) Plug in 15 for c and solve for a.
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