Math

Isosceles Trapezoid Calculator

Area, perimeter, legs, diagonals and base angles.

Enter your values

ⓘ Live results

Results
Area
32
Perimeter
24.9443
Leg length
4.4721
Diagonal
8.9443
Base angle
63.43°
Top angle
116.57°

Quick answer

An isosceles trapezoid has equal legs and equal base angles; its area is the average of the two bases times the height.

A = (a + b) ÷ 2 × h

How to use the Isosceles Trapezoid Calculator

  1. 1Enter both parallel base lengths.
  2. 2Enter the perpendicular height.
  3. 3Read area, legs, diagonals and angles.

Worked example

Using the values the calculator loads with:

Inputs

  • Longer base a10
  • Shorter base b6
  • Height4

Results

  • Area32
  • Perimeter24.9443
  • Leg length4.4721
  • Diagonal8.9443
  • Base angle63.43°
  • Top angle116.57°

Frequently asked questions

Are the diagonals of an isosceles trapezoid equal?

Yes — equal diagonals are one of the defining properties of an isosceles trapezoid.

How do I find the leg length?

Half the base difference is the horizontal offset; the leg is the hypotenuse of that offset and the height.

About this calculator

Results are estimates for general information. For medical, legal, structural or financial decisions, confirm with a qualified professional.