Karlis2874 Karlis2874
  • 07-09-2018
  • Mathematics
contestada

If the length of a side in a 45 ∘ − 45 ∘ − 90 ∘ triangle is x , find the length of the hypotenuse.

Respuesta :

jcherry99
jcherry99 jcherry99
  • 10-09-2018

Remark

The two sides of a 45 45 90 triangle are both equal and both are x. Use the Pythagorean Theorem to find the length of the hypotenuse.

Solution

Let the hypotenuse = x

x^2 + x^2 = h^2

2x^2 = h^2              Take the square root of both sides.

sqrt(2x^2) = sqrt(h^2)

h = sqrt(2)*x or x*sqrt(2)  answer



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