#### Equation for a trapezoid

## How do you find the missing side of a trapezoid?

Solve for H. To do this, multiply each side by H, then divide each side by the angle sine. Or, you can simply divide the height of the triangle by the angle sine. So, the length of the hypotenuse, and the first missing side of the trapezoid, is about 10.4566 cm.

## What is the formula for finding the height of a trapezoid?

Write A=h(b1+b2)/2, where A represents the trapezoid’s area, b1 represents one of the base lengths, b2 represents the other base length and h represents the height. Rearrange the equation to get h alone. Multiply both sides of the equation by 2 to get. 2A=h(b1+b2).

## Why is the formula for the area of a trapezoid?

Dissecting the trapezoid The two parallel sides are the bases, and height, as always, is the perpendicular distance from one base to the opposite. The area of this parallelogram is its height (half-height of the trapezoid) times its base (sum of the bases of the trapezoid), so its area is half-height × (base1 + base2).

## Why is the area of a trapezoid 1 2h b1 b2?

The two parallel sides of a trapezoid are its bases. If we call the longer side b1 and the shorter side b2, then the base of the parallelogram is b1 + b2. Area of a trapezoid = 1 2 (base 1 + base 2)(height). A = 1 2 h(b1 + b2) The area of a trapezoid is half its height multiplied by the sum of its two bases.

## What does trapezoid mean?

1a : a quadrilateral having only two sides parallel. b British : trapezium sense 1a. 2 : a bone in the wrist at the base of the metacarpal of the index finger.

## How do you find area?

To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.

## What is a trapezoid look like?

A trapezoid is a four-sided flat shape with one pair of opposite parallel sides. It looks like a triangle that had its top sliced off parallel to the bottom. Usually, the trapezoid will be sitting with the longest side down, and you will have two sloping sides for the edges.

## What is the area in square units of the trapezoid?

Multiplying times 12 is the same as dividing by 2. We take half the sum of the length of the two bases (their average) and then multiply that by the altitude, or height, to find the area in square units.

## How do you find the missing side of a rectangle?

Explanation: To find the width, multiply the length that you have been given by 2, and subtract the result from the perimeter. You now have the total length for the remaining 2 sides. This number divided by 2 is the width.

## How do I find the missing length of a triangle?

Given two sidesif leg a is the missing side, then transform the equation to the form when a is on one side, and take a square root: a = √(c² – b²)if leg b is unknown, then. b = √(c² – a²)for hypotenuse c missing, the formula is. c = √(a² + b²)