Area Of Triangles: Calculating the base or height of a triangle

The video tutorial explains how to calculate the height and base of a triangle using its area. It begins with a problem where the area and base are given, and the height needs to be calculated. The instructor demonstrates the step-by-step process, emphasizing the formula for the area of a triangle (1/2 * base * height). The tutorial also covers alternative methods for solving the problem without a calculator. In the second part, the instructor solves for the base of a triangle when the area and height are known. The video concludes by relating these calculations to broader geometric concepts, such as the area of rectangles and parallelograms.

What is the formula for the area of a triangle?

• Base times height

• 1/2 times base times height

• Base plus height

• Base minus height

If the area of a triangle is 77 cm² and the base is 11 cm, what is the height?

• 14 cm

• 7 cm

• 21 cm

• 11 cm

Why is it beneficial to keep calculations simple when solving for the height of a triangle without a calculator?

• To ensure the answer is always an integer

• To make the process faster

• To prevent errors in decimal calculations

• To avoid using fractions

Given a triangle with an area of 9 square inches and a height of 6 inches, how do you find the base?

• Multiply the area by 2 and divide by the height

• Divide the area by the height

• Divide the area by 2 and multiply by the height

• Multiply the area by the height

What happens to the units when you divide square inches by inches in the context of finding the base of a triangle?

• They remain as square inches

• They cancel out completely

• They convert to inches

• They convert to centimeters