An isosceles triangle with a side of 10 cm and a base is described around the circle 12. determine the radius of the circle?

Let’s find out what the perimeter of the triangle will equal, based on their data, which are presented in the condition of our problem:

(10 * 2 + 12): 2 = 32: 2 = 16.

Now it is possible to calculate what the area of the triangle will be in our case:

√ (16 * (16 – 10) * (16 – 10) * (16 – 12)) = √ (16 * 6 * 6 * 4) = 4 * 6 * 2 = 48.

Let us find out what the radius of the circle will be under such conditions, knowing that it is determined by the following formula:

r = S / p;

r = 48: 16 = 3.

Answer: With such initial conditions, the radius of the circle will be 3 cm.