Question

Shirley is drawing triangles that have the same area. The base of each triangle varies inversely with the height. What are the possible base and height of a second triangle if the first triangle's base is 16 and its height is 6

Answer 1

Hello!

We first have to find the area of the first triangle

To find an area of a triangle we use the equation$\frac{h*b}{2}$ where h is the height and b is the base

This give us an area of 48

Now we know the area we can inverse the equation to do 

48 = $\frac{h * b}{2}$

We multiply 2 to both sides

96 = h * b

You can use any numbers that multiply to 96

One of the answer is the base is 12 and the height is 8

Hope this helps!