If the area of a triangle is 9 cm², what is the area of the three smaller shaded triangles?

If the area of a triangle is 9 cm², what is the area of the three smaller shaded triangles?

• A. 1 cm²
• B. 3 cm²
• C. 5 cm²
• D. 9 cm²

Answer: (B)

To determine the area of the three smaller shaded triangles when the overall area of the larger triangle is 9 cm², you need to understand how the area of triangles can be divided. If the larger triangle is subdivided into smaller triangles, the total area of these smaller triangles will be equal to the area of the larger triangle, provided they fill it completely without overlapping. In this scenario, if the area of the larger triangle is 9 cm², and you are interested in the area of the three smaller shaded triangles specifically, you would note that if all these triangles together occupy a fraction of the larger triangle's area, their combined area needs to be calculated based on what portion of the 9 cm² they cover. In other words, if the question specifies three shaded areas, and if it's given or implied that these shaded areas occupy a certain proportion of the total area, you can conclude that if one specific portion is detailed as the answer (3 cm² in this case), it must represent the combined area of those shaded triangles. Hence, assuming the area of the shaded triangles is correctly stated as a third of the total area of the triangle (which sums to 9 cm²), the area of the three smaller shaded triangles indeed is

To determine the area of the three smaller shaded triangles when the overall area of the larger triangle is 9 cm², you need to understand how the area of triangles can be divided. If the larger triangle is subdivided into smaller triangles, the total area of these smaller triangles will be equal to the area of the larger triangle, provided they fill it completely without overlapping.

In this scenario, if the area of the larger triangle is 9 cm², and you are interested in the area of the three smaller shaded triangles specifically, you would note that if all these triangles together occupy a fraction of the larger triangle's area, their combined area needs to be calculated based on what portion of the 9 cm² they cover.

In other words, if the question specifies three shaded areas, and if it's given or implied that these shaded areas occupy a certain proportion of the total area, you can conclude that if one specific portion is detailed as the answer (3 cm² in this case), it must represent the combined area of those shaded triangles.

Hence, assuming the area of the shaded triangles is correctly stated as a third of the total area of the triangle (which sums to 9 cm²), the area of the three smaller shaded triangles indeed is