Right Triangle
Right triangle?
One leg of a right triangle is 1 cm longer than the other leg. What is the length of the short lef if the total length of the hypotenuse and the short leg is 10 cm?
I solved the equation, but I get a decimal number. Did I solve it right?
short leg = s
long leg = s + 1
hypotenuse = sqrt(s^2 + (s+1)^2)
10 = s + sqrt(2s^2+2s+1)
solve the quadratic equatyon to get
s^2 – 20s + 100 = 2s^2 +2s+1
s^2+22s-99 = 0
solution: s = (-22 + sqrt(484 + 396)) /2 = -11 + sqrt(220) =3.8324…
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