Question 179244
Rectangular stage. one side of a rectangular stage is 2 meters longer than the other.If the diagnal is 10 meters,then what are the lengths of the sides
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The diagonal is the hypotenuse of a right triangle.
The sides are s and (s+2)
Using the Pythagorean Theorem?
{{{s^2 + (s+2)^2 = 10^2}}}
{{{s^2 + s^2+4s+4 = 10^2}}}
{{{2s^2 + 4s + 4 = 100}}}
{{{s^2 + 2s + 2 = 50}}}
{{{s^2 + 2s - 48 = 0}}}
(((s+8)*(s-6) = 0
s = -8, s = 6
Ignore the -8
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s = 6
The sides are 6 meters and 8 meters