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

Respuesta :

MollyLM
Each leg is 14 because the hypotenuse of an isosceles right triangle is the length of either of its legs times the square root of 2. So each leg is 14 because both legs are equal in an isosceles triangle
Hope this helps!
SomeRandomUser1

Answer:

14

Step-by-step explanation:

Let the legs of the triangle each have length $x$ (they are equal because it is an isosceles right triangle). Then

x^2 + x^2 = (14√2)^2 = 14^2 × (√2)^2 = 14^2 × 2, so x^2 = 14^2. Given that x must be positive, we have x = 14. So, the value of each leg is 14

(Hope this helped you!)

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