All ACT Math Resources
Example Question #301 : Geometry
Given the height of a trapezoid is and a base length is , what is the length of the other base if the area of the trapezoid is ?
Write the formula used to find the area of a trapezoid.
Substitute the given information to the formula and solve for the unknown base.
Example Question #13 : Trapezoids
is an isosceles trapezoid that is bisected by .
. If , , and , then what is the length of ?
We know that all three horizontal lines are parallel to one another. By definition, we can set up a ratio between the lengths of the sides provided to us in the question and the lengths of the two parallel lines:
Once we substitute the given information, we get
We cross multiply to solve for EF