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In a 45-45-90 triangle, what is the length of the hypotenuse when the length of one of the legs is 11 in.?

Respuesta :

Answer:

= 15.556 in

Step-by-step explanation:

Since this is a 45-45-90 triangle, we can tell that;

  • This is a right triangle  
  • This is an isosceles triangle

One of the theorems of geometry, the Isosceles Right Triangle Theorem, says that the hypotenuse is √2 times the length of a leg.

Therefore;

hypotenuse = leg × √2

If we take hypotenuse as x

Since the leg is 11;

Then; x = 11√2

x = 11/√2

x = 15.556 in

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