clackert1 clackert1

04-01-2021
Mathematics

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What is the value of x?

What is the value of x class=

Respuesta :

cwang23 cwang23

04-01-2021

Answer:

x = 3 sqrt 2

Step-by-step explanation:

We know that this is a 45, 45m 90 special right triangle. In this special right triangle the side lengths are x, x and the hypotenuse is x sqrt 2 (we can prove this using pythagoreans theorem). 6 is the hypotenuse, meaning that it is equal to x sqrt 2:

6 = x sqrt 2

x = 6/sqrt 2

Rationalize the denominator:

x = (6 sqrt 2)/2

x = 3 sqrt 2

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