Question

The circles are tangent to one another and each circle is tangent to the sides of the right triangle ABC with right angle ABC. If the larger circle has radius 12 and the smaller circle has radius 3, what is the area of the triangle?​

Answer 1

Answer:

486

Step-by-step explanation:

use the formula area of triangle?

Answer 2

Concept

In geometry, a tangent is a line that intersects a curve or a curved surface at exactly one point. A tangent to a circle is a straight line that touches or intersects the circle only once. A tangent is a line that never enters the interior of a circle. The only point of intersection where the straight line touches or intersects the circle is defined as the point of tangency.

Given

The circles are tangent to one another and to the sides of the right triangle ABC with right angle ABC.

Radius of larger circle = 12.

Radius of smaller circle = 3.

Find

We have to find the area of the given right triangle ABC.

Solution

Area = ½ * base * height = 486

Therefore, the area of the right triangle is 486.

#SPJ2