Question

The hypotenuse of a right angle triangle is 10 cm. and the radius of the inscribed circle is 1 cm. the perimeter of the triangle is

Answer 1

Answer:

Perimeter of the triangle is 22 cm.

Step-by-step explanation:

Given : The hypotenuse of a right angle triangle is 10 cm. and the radius of the inscribed circle is 1 cm.

To find : The perimeter of the triangle is?

Solution :

Refer the attached figure below.

The figure is made up of a triangle ABC in which circle is inscribed of EFG.

The sides are mention in the figure.

According to question,

AC=10 , AE=x, EB=1, BF=1, FC=10-x, GC=10-x

Perimeter of the triangle is the sum of all the sides of the triangle.

So, P=AG+GC+AE+EB+BF+FC

P=x+10-x+x+1+1+10-x

P=10+1+1+10

P=22

Therefore, Perimeter of the triangle is 22 cm.

Answer 2

Answer:

22

I hope this will help you