SOLUTION: 5.) The lengths of the legs of a right triangle are consecutive even integers. The numerical
value of the area is three times that of the longer leg. Find the lengths of the legs
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Question 745003: 5.) The lengths of the legs of a right triangle are consecutive even integers. The numerical
value of the area is three times that of the longer leg. Find the lengths of the legs of the
triangle.
Answer by savvyhush23(50) (Show Source): You can put this solution on YOUR website!
Let,
x - be the smaller leg
x+2 - (consecutive number)be the longer leg.
Area of triangle:
The numerical value of the area is three times that of the longer leg
Equate both area:
Use quadratic formula:
x = 6 smaller leg
x + 2 = 8 larger leg
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