# 8.9.2. Equality of the Areas of Two Triangles

If the area of

- A
- B
- C
- D

### Example

If the area of

### Solution

Step 1: Find the area of

If two triangles share the same vertex and have bases of equal length that lie along the same line, then the heights of the triangles must be the same and the areas of the two triangles must be equal.

Step 2: Find the area of

If two triangles share the same base and their vertices lie on a straight line parallel to the base, then the triangles are equal in area.

Therefore, the area of

Step 3: Find the area of figure