The dimensions of triangle A are three times the dimensions of triangle B. The area of triangle A is 405 cm2.
What is the area of triangle B?
Given that the dimensions of triangle A are three times the dimensions of triangle B, we can represent this relationship as follows:
Let the dimensions of triangle B be x and y (base and height).
Then, the dimensions of triangle A would be 3x and 3y.
The area of a triangle is calculated using the formula: Area = 0.5 * base * height.
For triangle A:
Area of triangle A = 0.5 * 3x * 3y = 1.5 * 3 * x * y = 4.5 * x * y
Given that the area of triangle A is 405 cm^2, we have:
4.5 * x * y = 405
Dividing by 4.5 on both sides, we get:
x * y = 90
This is the area of triangle B. Hence, the area of triangle B is 90 cm^2.