Triangle Area and Height Calculations

The video tutorial explains how to find the height of a triangle given its area and base. It starts by introducing the problem and labeling the triangle's sides. The area formula is used to set up an equation, which is then solved to find the unknown height. The process involves simplifying the equation and using the reciprocal to isolate the height variable. The final solution confirms the height of the triangle, ensuring the area matches the given value.

What is the given area of the triangle in the problem?

• 45 square units

• 36 square units

• 27 square units

• 18 square units

Which side of the triangle is labeled as the base?

• The side with length 6 units

• The side with length 12 units

• The side with length 15 units

• The side with length 9 units

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

• Area = base * height

• Area = 1/2 * base * height

• Area = base + height

• Area = base - height

What is the first step in simplifying the equation to find the height?

• Subtract the base from the area

• Add the base and height

• Multiply the base by 1/2

• Divide the area by the base

What operation is used to isolate the height in the equation?

• Addition

• Division by the base

• Subtraction

• Multiplication by the reciprocal

What is the reciprocal of 9/1 used in the calculation?

• 1/2

• 9/2

• 2/9

• 1/9

What is the final height of the triangle after solving the equation?

• 6 units

• 5 units

• 4 units

• 7 units

What is the common factor between 9 and 27 used in simplifying the equation?

• 9

• 12

• 6

• 3

What is the product of 2 and 3 in the final calculation?

• 5

• 6

• 7

• 8

What is the base length of the triangle?

• 6 units

• 9 units

• 7 units

• 8 units