SOLUTION: Using Quadratic Formula:
The hypotenuse of a right triangle is 6 meters long. One leg is 1 meter longer than the other. Find the lengths of both legs of the triangle, to the neare
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Question 549665: Using Quadratic Formula:
The hypotenuse of a right triangle is 6 meters long. One leg is 1 meter longer than the other. Find the lengths of both legs of the triangle, to the nearest hindredth of a meter.
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Answer by mananth(16949) (Show Source): You can put this solution on YOUR website!
one leg x
the other leg x+1
hypotenuse = 6m
Pythagoras theorem
(Hyp)^2= (leg1)^2+Leg2^2
6^2=x^2+(x+1)^2
36=x^2+x^2+2x+1
36=2x^2+2x+1
2x^2+2x-35=0
Find the roots of the equation by quadratic formula
a= 2 ,b= 2 ,c= -35
b^2-4ac= 4 + 280
b^2-4ac= 284
x1=( -2 + 16.85 )/ 4
x1= 3.71
x2=( -2 -16.85 ) / 4
x2= -4.71
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