A triangle has two 13-cm sides and a 10-cm side. The largest circle that fits inside this triangle meets each side at a point of tangency. These points of tangency divide the sides of the triangle into segments of what lengths? What is the radius of the circle?

Step-by-step explanation:

Let's use the radius equation to a circle inscribed into a triangle.

In our case a = 13 mc, b = 13 cm  and c = 10 cm

Then, s will be s = 18 cm

Then the radius will be:

Now, the distance from the vertex to the nearest touchpont is given by:

This value is the same for each side.

I hope it helps you!

answer: bea's uncle is 25 years old.

step-by-step explanation:

given the equation , we can say that the variable "x" represents the age of bea's uncle. then to find his age, we need to solve for "x":

we must add 15 to both sides of the equation:

now we need to divide both sides of the equation by 3:

therefore, we can conclude that bea's uncle is 25 years old.