Question

A triangle has an area of 12 square millimeters. What could be the measures of the base and height of the triangle in millimeters? Select all the correct answers *

b = 2 and h = 6

b = 3 and h = 8

b = 4 and h = 3

b = 6 and h = 4

b = 12 and h = 2

Answer 1

To find the measures of the base and height of a triangle with an area of 12 square millimeters, we can try different combinations.

Step-by-step explanation:

The formula for the area of a triangle is 1/2 × base × height. So, to find the measures of the base and height of a triangle with an area of 12 square millimeters, we can try different combinations:

• If the base (b) is 2 mm, and the height (h) is 6 mm, the area would be 1/2 × 2 × 6 = 6 square millimeters.
• If the base (b) is 3 mm, and the height (h) is 8 mm, the area would be 1/2 × 3 × 8 = 12 square millimeters.
• If the base (b) is 4 mm, and the height (h) is 3 mm, the area would be 1/2 × 4 × 3 = 6 square millimeters.
• If the base (b) is 6 mm, and the height (h) is 4 mm, the area would be 1/2 × 6 × 4 = 12 square millimeters.

Based on these combinations, the correct answers are b = 3 and h = 8, and b = 6 and h = 4.