Question

the hypotenuse of a right triangle is 3 root 5 of the smaller side is tripled and the larger side is doubled. the new hypotenuse will be 15cm. find the length of each side?

Answer 1

let one side of triangle=x and other be= y

by using [pythagorus theorem]

case1:-

y^2+x^2=(3root5)^2

y^2+x^2= 45------(1)

case2:-

2y^2 + 3x^2= (15)^2

= 4y^2 + 9x^2= 225-------(2)

multiply eq(1) with4 =

4y^2+4x^2=180------(3)

sub(2)-(3)=

5x^2=45

x^2=45/5=9

x=root9=3 , hence one side is = 3cm [sub in(1)]

y^2+ (3)^2=45

y^2=45-9 = 36

y=root36= 6 , hence other side=6cm

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