Question

the difference between the length of the side of a right the triangle which form the right angle is 3 centimetre if its perimeter is 36 cm find the length of the sides​

Answer 1

Answer:

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Step-by-step explanation:

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Method of Solution!

Suppose the actual length of right Angled Triangle which form the right angle 'x'.

Now, According to the Question Statement!

Other side of right angled triangle = (x+3)

Also, Using Pythagoras theorem!

h²=P²+b²

Here, Before using Pythagoras theorem find the lengths side(Hypotenuse) of right angled triangle!

Measure of hypotenuse Side!

36-x-(x+3)

= 36-x-x-3

= 36-2x-3

=36-3-2x

=33-2x

Now, Using Pythagoras theorem!

here, Base = (x+3), Perpendicular = (x) and Hypotenuse (33-2x)

Substitute the Given value in Equation Formula!

h²=p²+b²

(33-2x)² = (x+3)²+(x)²

1089+4x²-2.2x.33 = x²+9+2.3.x+x²

4x²-132x+1089=x²+9+6x+x²

4x²-132x+1089=2x²+6x+9

4x²-2x²-132x-6x+1089-9=0

2x²-138x+1080 = 0

2(x²-69x+540) = 0

So, x²-69x+540= 0

Solving the Quadratic Equation!

x²-69x+540 = 0

x²-60x-9x+540=0

x(x-60)-9(x-60)=0

(x-60)(x-9)=0

x=60 or 9

Now, According to the Question statement!

Length of sides = 9, 12,15

Also, Length of sides = 60,63,-87.

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