Find The Length Of The Hypotenuse Of A Isoselec Right Triangle With Leg 827132cm Long

Find the length of the hypotenuse of a isoselec right triangle with leg 8✓2cm long

Answer:

The answer to this problem is 16 cm.

Step-by-step explanation:

This problem is best illustrated on the photo attached below.

Since it is stated in the problem that the right triangle is isosceles, then both legs have equal lengths of $8\sqrt{2} cm$ .

Using Pythagorean theorem, the solution goes like this

$a^2 +b^2 = c^2\\c^2 = (8\sqrt{2})^2 + (8\sqrt{2})^2\\c = \sqrt{256}\\ c= 16$

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