Missing Dimension in Triangle Area Calculations

Find the base of a triangle with an area of 24 square units and a height of 8 units.

• 12

• 10

• 6

• 4

Answer explanation

The base of a triangle with an area of 24 square units and a height of 8 units can be found using the formula: base = (2 * area) / height. Therefore, the base is 6 units, which is the correct choice.

Determine the height of a triangle with an area of 36 square units and a base of 12 units.

• 6

• 10

• 4

• 24

Answer explanation

The height of a triangle with an area of 36 square units and a base of 12 units is 6 units. This is calculated using the formula: height = (2 * area) / base. Therefore, the correct answer is 6.

Calculate the base of a triangle with an area of 45 square units and a height of 9 units.

• 10

• 15

• 5

• 20

Answer explanation

The base of a triangle can be calculated using the formula: base = (2 * area) / height. In this case, the area is 45 square units and the height is 9 units. Therefore, the base is (2 * 45) / 9 = 10 units. Thus, the correct choice is 10.

Find the height of a triangle with an area of 30 square units and a base of 10 units.

• 15

• 6

• 8

• 20

Answer explanation

The height of a triangle with an area of 30 square units and a base of 10 units can be calculated using the formula: height = (2 * area) / base. Therefore, the height is (2 * 30) / 10 = 6 units. The correct answer is 6.

If the area of a triangle is 20 square units and the height is 5/2 units, what is the base?

• 8

• 4

• 16

• 10

Answer explanation

The area of a triangle is given by the formula: (base * height) / 2. Substituting the given values, we have (base * (5/2)) / 2 = 20. Solving for base, we get base = 8. Therefore, the correct choice is 8.

Tags

CCSS.6.G.A.1

Determine the height of a triangle with an area of 48 square units and a base of 16 units.

• 12

• 6

• 24

• 8

Answer explanation

The height of a triangle with an area of 48 square units and a base of 16 units is 6 units. This is calculated using the formula: height = (2 * area) / base. Therefore, the correct answer is 6.

Calculate the base of a triangle with an area of 55/6 square units and a height of 14 units.

• 55

• 55/84

• 1 13/43

• 36

Answer explanation

The base of the triangle can be calculated using the formula: base = (2 * area) / height. Substituting the given values, we get base = (2 * (55/6)) / 14 = 1 13/43. Therefore, the correct choice is 1 13/43.

Calculate the height of a triangle with an area of 7/2 square units and a base of 18 units.

• 7/36

• 8

• 6

• 7/18

Answer explanation

To find the height of a triangle, use the formula: height = (2 * area) / base. Plugging in the values, we get: height = (2 * (7/2)) / 18 = 7/18. Therefore, the correct choice is 7/18.

If the area of a triangle is 35 square units and the height is 7/2 units, what is the base?

• 10

• 15

• 5

• 20

Answer explanation

The area of a triangle is given by the formula: (base * height) / 2. Given that the area is 35 square units and the height is 7/2 units, we can substitute these values into the formula to solve for the base. Solving for the base, we get: base = (2 * area) / height = (2 * 35) / (7/2) = 10. Therefore, the base of the triangle is 10 units. The correct choice is 10.

Determine the base of a triangle with an area of 54 square units and a height of 9 units.

• 121 1/2

• 240

• 12

• 216

Answer explanation

The base of the triangle can be calculated using the formula: base = (2 * area) / height. Substituting the given values, we get base = (2 * 54) / 9 = 12. Therefore, the correct answer is 121 1/2.