Question

In a right angle triangle length of the hypotenuse is 12 CM more than its shortest sides. The length of the other side is 6 cm less than the hypotenuse then find the sides of the right angle triangle. ​

Answer 1

Step-by-step explanation:

let hypotenuse be x cm. shortest side is (x-12 )cm. and other side is (x-6)cm by Pythagoras theorem. (x)^2=(x-12)^2+(x_6)^2. i.e) x2 = x2-24x+144+x2-12x+36. i.e) x2 -36x+180=0. i.e)x2-30x-6x+180=0 i.e) x(x-30)+6(x-30)=0. i.e) (x-30) (x+6)=0. i.e) x-30=0. or x+6=0. or x=30. or x=-6. since) side can't be negative. i.e)x=30cm. hypotenuse =30cm. 1 side =x-12=30-12=18cm. 2side =x-6=30-6=24cm