A folded napkin has a triangular cross section of sides x cm ,x +1 cm and x+2 cm if one of the angles of the triangle is 90 degrees find x

The value of x is 3 cm.

Step-by-step explanation:

Given : A folded napkin has a triangular cross section of sides x cm, x +1 cm and x+2 cm if one of the angles of the triangle is 90 degrees.

To find : The value of x ?

Solution :

One of the angle is 90 degrees i.e. it is a right angled triangle.

Applying Pythagorean theorem,

Where, H is the hypotenuse the largest side i.e. H=x+2 cm

P is the perpendicular i.e. P=x+1 cm

B is the perpendicular i.e. B=x cm

Substitute the value,

Reject x=-1 as it is not possible.

So, x=3

The sides are 3,4,5 cm.

Therefore, the value of x is 3 cm.

the solution is h=10 because you add 9 to each side of the equation.