Find the sides of hypotenuse , Mathematics

The hypotenuse of a right triangle is 20m. If the difference between the length of the other sides is 4m. Find the sides.

Ans: APQ

x2 + y2 = 202 x2  + y2 = 400 also        x - y = 4

⇒ x = 404 + y

(4 + y)2 + y2 = 400

⇒2y2 + 8y - 384 = 0

⇒(y + 16) (y - 12) = 0

y = 12         y = - 16 (N.P)

∴sides are 12cm & 16cm

 

Posted Date: 4/8/2013 3:28:27 AM | Location : United States







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