In a 45° - 45° - 90° triangle , what is the measure of one of its legs if the hypotenuse is 32 cm?

16

Step-by-step explanation:

note that in a 45° - 45° - 90° triangle the legs are equal in length, since triangle is a right isosceles

let x be the length of the leg

using Pythagoras' identity on the triangle, then

x² + x² = 32²

2x² = 1024 ( divide both sides by 2 )

x² = 512 ( take the square root of both sides )

x = = 16

the legs have length 16

answer: -2+√x,-2-√x

i hope this , i don't know if you're looking for a pair or not.

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step-by-step explanation: