Triangle Measurements and Properties

The video tutorial explains how to find the height and base of a triangle given that the height is four inches less than the base and the area is 30 square inches. It uses the formula for the area of a triangle and sets up a quadratic equation to solve for the base. The solution involves factoring the quadratic equation and verifying the results to ensure they make sense in the context of the problem. The tutorial emphasizes the importance of considering the context when interpreting mathematical solutions.

What is the relationship between the height and the base of the triangle?

• The height is twice the base.

• The height is four inches less than the base.

• The height is equal to the base.

• The height is four inches more than the base.

Tags

CCSS.6.G.A.1

What is the formula used to calculate the area of a triangle?

• Area = base + height

• Area = base * height

• Area = 1/2 * base * height

• Area = base * height / 2

Tags

CCSS.HSG.SRT.C.8

What equation is set up to find the base of the triangle?

• b^2 + 4b + 60 = 0

• b^2 - 4b + 60 = 0

• b^2 + 4b - 60 = 0

• b^2 - 4b - 60 = 0

Which pair of numbers is used to factor the quadratic equation?

• 4 and 15

• 6 and 10

• 3 and 20

• 5 and 12

Tags

CCSS.HSA-REI.B.4B

What are the possible solutions for the base of the triangle?

• b = -6 or b = -10

• b = 6 or b = 10

• b = 6 or b = -10

• b = -6 or b = 10

Tags

CCSS.8.G.B.8

Why is b = -6 not a valid solution for the base?

• Because the base cannot be negative.

• Because the base must be greater than the height.

• Because the base must be less than the height.

• Because the base must be a multiple of 4.

What is the final value of the base of the triangle?

• 10 inches

• 8 inches

• 12 inches

• 6 inches

What is the height of the triangle if the base is 10 inches?

• 4 inches

• 6 inches

• 8 inches

• 10 inches

Tags

CCSS.6.G.A.1

What is the area of the triangle with a base of 10 inches and a height of 6 inches?

• 50 square inches

• 40 square inches

• 30 square inches

• 20 square inches

Tags

CCSS.HSA-REI.B.4B

Which method can be used to solve the quadratic equation besides factoring?

• All of the above

• Graphing

• Using the quadratic formula

• Completing the square

Tags

CCSS.HSA-REI.B.4B