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InesCorse334 InesCorse334
  • 17-08-2015
  • Mathematics
Answered

Each leg of a 45-45-90 triangle has a length of 6 units. What is the length of its hypotenuse?

Verified Answer :

calculista
calculista calculista
  • 19-07-2018

see the picture attached to better understand the problem


we know that

in the right triangle ABC

AB is equal to AC

\(AB=AC=6units\)

BC is the hypotenuse


Applying the Pythagorean Theorem

\(BC^{2} =AB^{2}+AC^{2}\\ BC^{2} =6^{2} +6^{2} \\ BC^{2} =72\\ BC=\sqrt{72} \\ BC=6\sqrt{2} units\)


therefore


the answer is

the length of the hypotenuse is \(6\sqrt{2}\) units

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