The altitude of a right triangle is 7 cm less than its base. If the hypotenuse is 13 cm, find the other two sides.

Explanation

let base be`x`cm

altitude`= (x-7)`cm

hypotenuse`= 13`cm

acc to pythagoras theorem

`x^2 + (x-7)^2 = 13^2`

`x^2 + x^2 - 14x + 49 = 169`

`2x^2 - 14x - 120=0`

`x^2 - 7x - 60=0`

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