Question

The centroid of a triangle XYZ is G. The area of triangle XYZ is 45 cm². The area of triangle GYZ is:

• A. 22.5 cm²
• B. 7.5 cm²
• C. 15 cm²
• D. 30 cm²

Answer 1

Answer:

C. 15 cm²

The centroid divides a triangle into 6 smaller triangles of equal area.

Triangle GYZ consists of 2 of those 6 equal parts.

So,
$\text{Area of } \triangle GYZ = \frac{2}{6} \times 45 = \frac{1}{3} \times 45 = 15$

Answer: 15 cm²