Question

Shirley is drawing triangles that have the same area. The base of each triangle varies inversely with the height. What are the possible

base and height of a second triangle if the first triangle's base is 14 and its height is 6

12 and 7
50 and 34
120 and 70
12 and 8.

Answer 1

12 and 7

Explanation:

The area of a triangle is calculated with the following formula:

`(1)/(2) * b * h`

• b: base, h: height.

The base of the first triangle is 14 and its height is 6:

`(1)/(2) * 14 * 6 = 42`

• If we try the given options one by one, we can see that the measure of the second triangle are 12(base) and 6(height) because:

`(1)/(2) * 12 * 7 = 42`