Question

Use decomposition and rearranging to model the area formula of triangle C. What is the area of triangle C in square units?

10.5 cubic units
10.5 units
10.5 square units * MY ANSWER IS IT CORRECT
21 square units

Answers

There are no human answers yet.
Answered by GPT 3.5
To find the area of triangle C, we need to use the formula for the area of a triangle:

Area = 1/2 * base * height

Let's decompose the triangle into two right triangles by drawing a line from vertex A perpendicular to side BC (let's call the point where the line crosses side BC point D).

Now, triangle C is composed of two right triangles: triangle ABD and triangle ACD.

The base of triangle ABD is 5 units (from B to D) and the height is 2 units (from A to D).

The area of triangle ABD is:
1/2 * 5 * 2 = 5 square units

Similarly, the base of triangle ACD is 7 units (from C to D) and the height is 3 units (from A to D).

The area of triangle ACD is:
1/2 * 7 * 3 = 10.5 square units

Therefore, the total area of triangle C is the sum of the areas of triangles ABD and ACD, which is 5 + 10.5 = 15.5 square units.

So, the correct answer is: 10.5 square units.

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