liamcunnane liamcunnane
  • 01-08-2018
  • Mathematics
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Find the leg of each isosceles right triangle when the hypotenuse is of the given measure. Given = 5squareroot6

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PunIntended
PunIntended PunIntended
  • 01-08-2018

The sides of an isosceles right triangle with angles 45-45-90 are in the ratio: 1-1-sqrt(2) with the sqrt(2) as the hypotenuse length.

So, if the hypotenuse is 5 * sqrt(6), then we can solve for the leg of the triangle by doing:

(5 * sqrt(6))/sqrt(2) = (5 * sqrt(12))/2 = (10 * sqrt(3))/2 = 5 * sqrt(3)

The length of one leg of the triangle is 5 square root 3.

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