123iamthe1 123iamthe1
  • 20-04-2018
  • Mathematics
contestada

The hypotenuse of an isosceles right triangle is $14\sqrt 2$. How long is each leg of the triangle?

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carlosego
carlosego carlosego
  • 29-04-2018
An isosceles triangle by definition, is a triangle that has two equal sides.
 We have then that the hypotenuse is given by:
 h = root (L ^ 2 + L ^ 2)
 h = root (2L ^ 2)
 Substituting we have:
 14raiz (2) = root (2L ^ 2)
 Clearing L we have:
 14raiz (2) = Lraiz (2)
 Simplifying:
 L = 14
 Answer:
 
Each side of the triangle is:
 
L = 14 units
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