Use decomposition and rearranging to model the area formula of triangle c what is the area of triangle c

Answer 1

The area formula for a triangle is A = 1/2*b*h, where b is the base of the triangle and h is the height of the triangle.

Let's decompose and rearrange the formula to find the area of triangle c.

First, let's decompose triangle c into two right triangles by drawing an altitude from vertex C to side AB. Let's call the height of the triangle "h" and the base of the triangle "b".

Now, we have two right triangles with bases b/2 and heights h. We can calculate the area of one of the right triangles as A = 1/2*(b/2)*h = 1/4*b*h. Since there are two right triangles, the total area of triangle c is 2*(1/4*b*h) = 1/2*b*h.

Therefore, the area of triangle c is 1/2*b*h.