Question

if the hypotenuse of an isosceles right triangle has a length of 5 centimeters what is the length of one of the legs

Answer 1

Answer:

a =b = $\frac{5\sqrt{5} }{5}$

Step-by-step explanation:

$a^{2} +b^{2} = 5 ^{2}$

a = b

$2a^{2} = 5 ^{2}$

$2a^{2} = 25$

$a^{2} = \frac{25}{5}$

a = $\frac{5}{\sqrt{5} }$

must rationalize...

a =b = $\frac{5\sqrt{5} }{5}$