Question

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

Answer 1

Answer:

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.