SOLUTION: the differences between the sides at right triangle in a right angle triangle is 14 cm .the area of triangle is 120 square cm . what is the perimeter of the triangle?

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Question 884851: the differences between the sides at right triangle in a right angle triangle is 14 cm .the area of triangle is 120 square cm . what is the perimeter of the triangle?
Found 2 solutions by nihar*2013, MathTherapy:
Answer by nihar*2013(34) About Me  (Show Source):
You can put this solution on YOUR website!
Suppose one side of a right angle triangle is x
then another side is x+14
Area of a triangle is 120
1/2 * Alti * Base =120
1/2 * x * x+14 = 120
x^2+ 14x = 120*2
x^2+ 14x = 240
x^2+ 14x-240 =0
x^2+16x-15x-240=0
x(x+16)-15 (x+16)=0
(x-15) (x+16) =0
x-15=0 OR x-16=0
x=15 OR x=16






Answer by MathTherapy(10557) About Me  (Show Source):
You can put this solution on YOUR website!
the differences between the sides at right triangle in a right angle triangle is 14 cm .the area of triangle is 120 square cm . what is the perimeter of the triangle?


If the difference of 14 cm is between the legs, then legs = 10 cm and 24 cm

Perimeter would then be: highlight_green%28highlight_green%2860%29%29 cm

You can do the check!! 



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