# In 45-45-90 right triangle, where the length of the hypotenuse is 15sqrt2,What is the length on one of the legs?

$a = b = 15$
${h}^{2} = {a}^{2} + {b}^{2}$
${\left(15 \sqrt{2}\right)}^{2} = {a}^{2} + {b}^{2} = 2 {a}^{2} = 2 {b}^{2}$
$450 = 2 {a}^{2}$ ; $a = b = 15$