Shiley is drawing uiangles that have the same area. The base of exch riangle varies inversely with the height. What are the possible base and height of a second triangle if the first triangle's base is 12 and its height is 8?
Explain step by step
The area of a triangle is equal to 1/2 base x height.
Therefore, the area of the first triangle is 1/2 x 12 x 8 = 48.
To find the base and height of the second triangle, we need to solve for the base and height using the equation 1/2 x base x height = 48.
We can solve for the base by rearranging the equation to base = 48/height.
Therefore, the base of the second triangle is 48/8 = 6.
We can solve for the height by rearranging the equation to height = 48/base.
Therefore, the height of the second triangle is 48/6 = 8.
Therefore, the base and height of the second triangle are 6 and 8, respectively.