How To Find The Area Of A Right Trapezoid

Welcome to the right trapezoid area calculator, where you'll exist able to compute the area of any right trapezoid in a glimmer of an centre! 😉
Hither nosotros'll also larn:

What is a correct trapezoid; and
How to discover the expanse of a right trapezoid yourself, even if at first yous don't know its meridian.

Shall nosotros get started?

What is a right trapezoid?

A right trapezoid is a item case of a trapezoid, a four-sided geometry with at to the lowest degree one pair of opposite sides parallel to each other. These parallel sides, as well known as bases, are identified in the image below equally $a$ and $b$ .

In the specific instance of a right trapezoid, i of the two remaining sides, $c$ from the figure, is perpendicular to the parallel sides $a$ and $b$ , creating 90° angles (right angles) between them.

How to discover the surface area of a right trapezoid

To find the area of a right trapezoid, use the formula: A = ( a + b ) 10 h/two.

Where:

A – Surface area of the trapezoid;
a and b – Bottom and meridian bases; and
h – The height.

Pregnant that if you know all of these dimensions, you'll be able to calculate the surface area of your right trapezoid straight.

Simply what if you don't know the tiptop h? Would you still be able to calculate the expanse? This is when some expert erstwhile trigonometry comes to the rescue!

Looking at the image, we tin can see a correct triangle forming from the summit h, the departure of the bases (a - b) and the side d.

From hither if you know:

The two sides (a - b) and d; or
I side and one angle of the correct triangle, you're all prepare!

If you know two sides, the adding of h revolves effectually the Pythagorean theorem as:

h = √(d² - (a - b)²)

On the other hand, if y'all accept one side and one angle you can get the value of h by using the arcsine role (the changed of the sine) as:

h = arcsin(δ) * d

or...

h = arcsin(γ - π/2) * d

How to use the right trapezoid area computer

To utilize the right trapezoid surface area estimator:

Input the bases a and b. For example, let'south assume a = 10 and b = 6.
Enter the value of the superlative h. In our example, suppose h = 4.
The calculator will brandish the result for the expanse on the final row. For our adding, we go A = 32. And that'due south it! 😀

💡 Don't know the value of the height h? Click on the Advanced fashion button to get the value of the area past inbound the angles and the slant side.

More trapezoid calculators

At present that you lot've learned how to calculate the area of a correct trapezoid, why non read about the area of an irregular trapezoid or ultimately expand your knowledge about trapezoids with our trapezoid calculator.

To larn most specific topics concerning trapezoids, we recommend other of our tools:

Correct trapezoid calculator;
Trapezoid perimeter calculator; and
Midsegment of a trapezoid calculator.

FAQ

Can a trapezoid accept exactly one right angle?

No, a trapezoid can't accept but i correct angle. The minimum amount of correct angles a trapezoid can have is two. This configuration is known as a right trapezoid. The following number of correct angles is four; this is the case of a rectangle.

How do I find the elevation of a correct trapezoid?

To find the height of a correct trapezoid you might meet one of these cases:

If the bases a and b, and the slant side d are known, use the Pythagorean theorem: h = √(d² - (a - b)²).
When knowing the slant side d and the acute angle δ use: h = arcsin(δ) x d.
If knowing the slant side d and the obtuse angle γ utilize: h = arcsin(γ - π/2) x d.