The hypotenuse of a 45°-45°-90° triangle measures 128 cm. what is the length of one leg of the triangle? 64 cm cm 128 cm cm

length of one leg of the triangle is 64 cm.

Step-by-step explanation:

Given : The hypotenuse of a 45°-45°-90° triangle measures 128 cm.

To find  : What is the length of one leg of the triangle.

Solution : We have given that hypotenuse of a 45°-45°-90° triangle measures 128 cm.

By the 45°-45°-90° triangle rule ,

Perpendicular sides  (legs) are equal .

Hypotenuse  =  √2 × either perpendicular side ( leg ).

128 = √2 ×  leg .

We can write 128 as  64 √2 and substitute in above

64√2 = √2 leg.

On dividing by √2 both sides and switching sides.

leg  = 64 cm .

Therefore,  length of one leg of the triangle is 64 cm.