The base of a triangle of a given area varies inversely as the height. A triangle has a base of 18cm and a height of 10cm. How do you find the height of a triangle of equal area and with base 15cm?
The area of a triangle can be determined with the equation
Find the area of the first triangle, by substituting the measurements of the triangle into the equation.
Let the height of the second triangle
So the area equation for the second triangle
Since the areas are equal,
Times both sides by 2.