Question

Find the length of the hypotenuse of 45° -45° -90° triangle with leg length 13 √2.

Answer 1

Answer:

We use the Pythagorean theorem in the isosceles right triangle:

$( 13\sqrt{2} )^{2} = l^{2} + l^{2} ;\\Then, 338 = 2l^{2} ;l^{2} = 169;\\l = \sqrt{169};\\ l = 13;$

Step-by-step explanation: