Question

Find the perimeter of the given triangle:
Please explain how!​

Answer 1

Step-by-step explanation:

Hypotenuse=4x+3 Sides=x, 3x+3

We know that in a right angled triangle

Hypotenuse ²=Side1²+Side2²

So, (4x-3)²=x²+(3x+3)²

16x²-24x+9=x²+9x²+9x+9

16x²-24x+9=10x²+9x+9

6x²-33x=0

3x(2x-11)=0

x=0 or x= 11/2

If x=0 then sides would be 3 3 and 0

There is no possibility of side length 0

So x=0 doesn't satisfy the condition

If x= 11/2

Hypotenuse= 4(11/2)-3= 22-3= 19

Side 1=3(11/2)+3=26.5+3=29.5

Side 2=x= 11/2= 6.5

Perimeter=19+29.5+6.5=19+36=55