The area of a triangle is 6 square units. Both the height and length of the base are whole numbers. What are the possible lengths and heights?

Area and Perimeter

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The area of a triangle is 1/2BH, or 1/2 times the base times the height.

If the area = 6, and B and H must both be whole numbers, you have a number of options.

B =1, H=12

B=2, H= 6

B=3, H=4

B=4, H=3

B=6, H=1

B=12, H =1

For any of these pairs of numbers (and to find the numbers in general), multiple whole numbers together to get 12, then divide by 2 (that's the same as multiplying by 1/2). That will get you a limited number of answers.

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