SOLUTION: The hypotenuse of an isosceles right triangle is 3 cm longer than either of its legs. Find the exact length of each side
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-> SOLUTION: The hypotenuse of an isosceles right triangle is 3 cm longer than either of its legs. Find the exact length of each side
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The hypotenuse of an isosceles right triangle is 3 cm longer than either of its legs. Find the exact length of each side
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If it's an isosceles right triangle, then the legs are equal, therefore:
SOLVE quadratic equation with variable
(in our case
) has the following solutons:
For these solutions to exist, the
should not be a negative number.
First, we need to compute the discriminant
Discriminant d=72 is greater than zero. That means that there are two solutions:
can be factored:
Again, the answer is: 7.24264068711928, -1.24264068711928. Here's your graph:
Throwing out the negative answer, the legs are 7.24264 cm., the hypotenuse is 10.24264 cm..