Homework Help

The area of a triangle is 6 square units. Both the height and length of the base are...

user profile pic

aranna3028 | Student, Grade 9 | eNotes Newbie

Posted March 1, 2009 at 1:08 PM via web

dislike 1 like

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

1 Answer | Add Yours

user profile pic

gbeatty | College Teacher | (Level 1) Educator Emeritus

Posted March 2, 2009 at 3:24 AM (Answer #1)

dislike 1 like

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.

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes