Finding the Area Between Two Triangles

A step-by-step guide to finding the area between two triangles

1. Identify the two triangles: Take a look at the diagram and identify the two triangles whose area you want to find. Make sure you have the dimensions of each triangle, such as the base and height.
2. Calculate the area of each triangle: Once you have the dimensions of each triangle, use the formula for finding the area of a triangle, which is: Area = 1/2 x base x height Apply this formula to each triangle to find its area.
3. Identify the larger and smaller triangles: Compare the areas of the two triangles to determine which one is larger and which one is smaller.
4. Subtract the area of the smaller triangle from the area of the larger triangle: Once you have identified the larger and smaller triangles, subtract the area of the smaller triangle from the area of the larger triangle. This will give you the area between the two triangles.

Finding Area Between Two Triangles – Example 1

Finding Area Between Two Triangles – Example 2

Solution:

Step 1: Find the area of the larger triangle.
\(11×8=88?, \frac{1}{2}×88=44\)
Step 2: Find the area of the lesser triangle.
\(7×5=35?, \frac{1}{2}×35=17.5\)
Step 3: Find the area of the shaded region by subtracting the area of the inner shape from the area of the outer shape.
\(44-17.5=26.5\)