Question

a side of right angle triangle is 3 cm more than thrice the other side if area of triangle is 84 square CM then find the hypotenuse of the triangle​

Answer 1

Answer is given in the diagram. I will explain it to you.

First take sides as x and 3x+3.Area is given so that you can find x.

Then using pythagoras theorem u can find hypotanuse.

If u have any doubt ask me in the commeny section.

Hope this would be helpfull

Answer 2

The hypotenuse of the triangle is 25 cm.

Step-by-step explanation:

Since we have given that

Let the one side of right angle triangle be 'x'.

Let the other side of right angle triangle be '3x+3'

Area of triangle = 84 sq. cm.

So, it becomes,

Area of triangle = $\dfrac{1}{2}\times base\times height$

Area of triangle =$\dfrac{1}{2}\times x\times (3x+3)$

So, it becomes,

$84=\dfrac{1}{2}(3x+3x^2)\\\\84\times 2=3x+3x^2\\\\168=3(x^2+x)\\\\\dfrac{168}{3}=x^2+x\\\\56=x^2+x\\\\x^2+x-56=0\\\\x^2+8x-7x-56=0\\\\x(x+8)-7(x+8)=0\\\\(x-7)(x+8)=0\\\\x=7,-8$

So, x = 7 cm

3x+3= $3(x+1)=3(7+1)=3\times 8=24\ cm$

So, Hypotenuse would be

$H^2=B^2+P^2\\\\H^2=7^2+24^2\\\\H^2=49+576\\\\H^2=625\\\\H=25\ cm$

Hence, the hypotenuse of the triangle is 25 cm.

# learn more:

A) A side of a right angled triangle is 3 cm more than thrice the

other side. If the area of the triangle is 84 sq.cm, then find

the hypotenuse of the triangle.

https://brainly.in/question/15065846