Question

In a 45°- 45°- 90° right triangle, the hypotenuse is 4 cm. How long are the legs?

Answer 1

What is the relationship between the legs and the hypotenuse of a 45-45-90 triangle?

Answer 2

A 45°- 45°- 90° right triangle is one-half of a square, with each leg equal to the side of the square. In a 45°- 45°- 90° right triangle, the hypotenuse is equal to times the length of either leg.

Answer 3

So if you multiply the leg by sqrt2 to get the hypotenuse, wouldn't it make sense to divide the hypotenuse by sqrt2 to get the leg?

Answer 4

i did that but it didnt match none of the multiple choices

Answer 5

Post what you did and I will trouble shoot it.

Answer 6

i put in the calculater 4/sqrt2 and got 1.41

Answer 7

im lost

Answer 8

Leave it in radical form and simplify it.

Answer 9

Rationalize the denominator by multiplying numerator and denominator by sqrt2