Question

THE HYPOTENUSE OF A RIGHT - ANGLED TRIANGLE IS 5cm AND THE OTHER TWO SIDES DIFFER BY 1cm . FIND THE LENGTHS OF THE SIDES OF THE TRIANGLE.

Answer 1

Answer:

answer is 4

Step-by-step explanation:

bcoz

given hypotenuse=5cm

let one side be=x

then other side will be=x-1

since sum of square of 2 sides=hypotenuse square

therefore, x²+(x-1)²=5²

x²+x²-2x+1=25

2x²-2x-24=0

2(x²-x-12) =0

x²-x-12=0

now,factorise.

x²-4x+3x-12=0

x(x-4)+3(x-4)=0

(x+3)(x-4)=0

since distance can't be negative

therefore,

x=4.[one side]

x-1=3[other side]

okay.. bye