Question

please answer this question

a side of a right angle triangle is 3cm more than thrice the other side. if the area of triangle is 84sq.cm Find the hypotenuse​

Answer 1

Answer:

25cm

Step-by-step explanation:

let one side be x and other=3x+3

area of right triangle = (side1×side2)/2 but not the hypotenuse

84=(x)(3x+3)/2

84×2=3x^2+3x

168=3(x^2 +x)

56=x^2+x

0=x^2+x-56

factories

x^2+8x-7x-56

x(x+8)-7(x+8)

factors

x-7&x+8

x-7=0 x+8=0 x=7 or -8

side is positive

x=7 3x+3=24

let hypotenuse be y

y^2= 7^2+24^2

y^2=576+49

y^2=625

y= square root of 625

y=25

hope you got it.

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