Examples

 Examples

 

Example 1: Find the area of an acute triangle with a base of 15 inches and a height of 4 inches. [IMAGE]
Solution:
  A = · (15 in) · (4 in)
  A = · (60 in2)
  A = 30 in2
Example 2: Find the area of a right triangle with a base of 6 centimeters and a height of 9 centimeters. [IMAGE]
Solution:
  A = · (6 cm) · (9 cm)
  A = · (54 cm2)
  A = 27 cm2
Example 3: Find the area of an obtuse triangle with a base of 5 inches and a height of 8 inches. [IMAGE]
Solution:
  A = · (5 in) · (8 in)
  A = · (40 in2)
  A = 20 in2
 
Example 4: The area of a triangular-shaped mat is 18 square feet and the base is 3 feet. Find the height. (Note: The triangle in the illustration to the right is NOT drawn to scale.) [IMAGE]
Solution: In this example, we are given the area of a triangle and one dimension, and we are asked to work backwards to find the other dimension.
 
  18 ft2 =· (3 ft) · h
  Multiplying both sides of the equation by 2, we get:
  36 ft2 = (3 ft) · h
  Dividing both sides of the equation by 3 ft, we get:
  12 ft = h
  Commuting this equation, we get:
  h = 12 ft