How do I compute the area of an isosceles trapezoid given diagonal?

You can compute the area of an isosceles trapezoid as: A = 0.5 × d² × sin(φ) where: A is the area of the trapezoid; d is the length of a diagonal; and φ is the angle between the diagonals.

Isosceles Trapezoid Area Calculator

Last updated: July 21, 2024

Key takeaway: Our isosceles trapezoid area calculator will be your best friend if you often deal with isosceles trapezoids. This free Isosceles Trapezoid Area Calculator is designed for students, teachers, and anyone who needs quick math answers — enter your values above to get instant results.

This isosceles trapezoid area calculator will help you deal with these very particular trapezoids. Recall that we say that a trapezoid is isosceles if its legs have the same length. You'll experience no trouble using isosceles trapezoid area calculator, but we know that life is hard, and you sometimes have to calculate with pen and paper. Don't worry — we will teach you how to find the area of an isosceles trapezoid with the help of dedicated formulas.

What is the area of an isosceles trapezoid?

There are several dedicated isosceles trapezoid area formulas:

bases a ,b and height h given: A = (a + b) × h / 2
bases a, b and leg c given: compute h via the Pythagorean Theorem (h is the square root of c² − (a − b)²/4) and A = (a + b) × h / 2
bases a,b and angle α given: compute h as tan(α) × (a − b)² / 4 and then A = (a + b) × h / 2
base a, leg c and angle α given: compute h as c × sin(α) and b as a − 2 × c × cos(α), then A = (a + b) × h / 2

Choose the isosceles trapezoid area formula that suits the available data (for notation, see the picture below). Or just use our isosceles trapezoid area calculator!

Useful trapezoid resources

Besides the isosceles trapezoid area calculator, has a vast collection of trapezoid-related tools. Make sure to take a look at:

FAQs

What is the area of an isosceles trapezoid?: There are several dedicated isosceles trapezoid area formulas: bases a ,b and height h given: A = (a + b) × h / 2 bases a, b and leg c given: compute h via the Pythagorean Theorem (h is the square root of c² − (a − b)²/4) and A = (a + b) × h / 2 bases a,b and angle α given: compute h as tan(α) × (a − b)² / 4 and then A = (a + b) × h / 2 base a, leg c and angle α given: compute h as c × sin(α) and b as a − 2 × c × cos(α), then A = (a + b) × h / 2
How do I compute the area of an isosceles trapezoid given diagonal?: You can compute the area of an isosceles trapezoid as: A = 0.5 × d² × sin(φ) where: A is the area of the trapezoid; d is the length of a diagonal; and φ is the angle between the diagonals.

Isosceles Trapezoid Area Calculator

What is the area of an isosceles trapezoid?

Useful trapezoid resources

FAQs

Related calculators

Remainder

Slope

Average

Circumference