How to find the height of a trapezoid?
Understand the Problem
The question is asking for a method to calculate the height of a trapezoid, which involves understanding the properties of trapezoids and possibly using formulas related to their dimensions.
Answer
$ h = \frac{2A}{a+b} $
Answer for screen readers
To find the height of a trapezoid, use the formula $ h = \frac{2A}{a+b} $
Steps to Solve
- Identify the known values
We need to know the lengths of the two parallel sides (bases) of the trapezoid, let's call them $a$ and $b$, and the area $A$ of the trapezoid.
- Use the area formula of a trapezoid
The formula for the area of a trapezoid is given by: $$ A = \frac{1}{2} (a+b)h $$
- Rearrange the formula to solve for height
To find the height ($h$), solve the formula for $h$: $$ h = \frac{2A}{a+b} $$
- Plug in the values
Substitute the known values of $A$, $a$, and $b$ into the formula to get the height.
- Calculate the height
Perform the division to find the height $h$.
To find the height of a trapezoid, use the formula $ h = \frac{2A}{a+b} $
More Information
The height of a trapezoid is calculated by using the area formula and solving for the height. This requires knowing the lengths of both bases and the area.
Tips
One common mistake is forgetting to multiply the area by 2 before dividing by the sum of the bases.
