Question

if the two sides of the right angled triangle are (X + 3) and (X + 1) and its hypotenuse is 100 find the value of x​

Answer 1

Answer:

Sides are 3,4and 5

Step-by-step explanation:

The sides of a triangle given are x−1,x and x+1.

As it is a right angle triangle, we apply Pythagoras theorem

therefore,

(x−1)

2

+x

2

=(x+1)

2

⇒x

2

−2x+1+x

2

=x

2

+2x+1

⇒x

2

−4x=0

⇒x(x−4)=0

x=4 ,x=0

x=0 cannot be the side of a triangle.

One side is 4.

Other two sides

x−1=4−1=3

x+1=4+1=5

Sides of a triangle 3,4 and 5.