The hypotenuse of L is 10 cm long. The other two sides differ by 3 cm. What are the lengths of other two sides.
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Answer:
one side of triangle is 8cm and another side of the triangle is 6cm
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(AB)^2+(BC)^2=(AC)^2
AB=x;BC=y
x-y=3
x=3+y
(3-y)^2+(y)^2= (10)^2
9-6y+(y)^2=100
y^2-6y-91=0
y^2-13y+7y-91=0
y(y-13)+7(y-13)=0
y=13 or y=-7
AB=16
BC=13
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