SOLUTION: Rectangular stage. One side of a rectangular stage is
2 meters longer than the other. If the diagonal is 10 meters,
then what are the lengths of the sides?
Algebra.Com
Question 283279: Rectangular stage. One side of a rectangular stage is
2 meters longer than the other. If the diagonal is 10 meters,
then what are the lengths of the sides?
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
The Pythagorean theorem applies: the diagonal is the hypotenuse of a right triangle.
The sides are the triangle are the length and width of the rectangle.
We are told the diagonal is 10 m.
.
:: The length is 2 m > width, so the width + 2 = length
.
.
substitute
.
.
.
.
divide through by 2
.
.
factor
.
.
So our choices are W=-8 and W=6, but a negative width doesn't make sense.
.
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checking our solution, is the diagonal 10?
.
.
So the
Correct
.
Answer:
The lengths of the sides of the rectangle are 6 and 8.
.
Done.
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