4.11 Quiz Derive The Formula For Area Of A Triangle

Question: Area of a Triangle

Answer: You need to know: The area of a triangle is given by the equation A= 1/2 bh where b is the base length and h is the height.

Remember: The height is always measured perpendicular to the base.

Question: What is the area of a triangle with base length 3 and height 6?

Answer: 1/2

6 = 9

Question: What is the area of a triangle with base length 2 and height 4?

Answer: 1/2

4 = 4

Question: The area of a triangle is 16 and it’s base is 4 long. What is it’s height?

Answer: 8

Question: The area of a triangle is 30 and it’s height is 5. What is the triangle’s base length?

Answer: 12

Question: The area of a triangle is 32 and the base and height are the same length. What is the length of the base and height?

Answer: 1/2

h = 32

b = h

• 1/2 b^2 (or 1/2 h^2) = 32

• - b^2 = 32/0.5 = 64

• - b = /64 = 8 = h

• Question: The area of a triangle is 18. The base is twice the length of the height. What is the base and height?

• Answer: 1/2

• h = 18

• b*h = 18/0.5 =36

• -2h*h = 3h = 36

• -h = 12

• -b = 2*12 = 24

• Question: If a triangle’s base and height are equal, then the area equation can be simplified into what equation?

• Answer: 1/2 b^2 or 1/2h^2

• Question: The area of a right isosceles triangle is fraction of the area of a square with the same side length?

• Answer: Area of a square = s^2

• Area of a triangle = 1/2s^2

• Area of the triangle is 1/2 the area of the square