# How are triangles and trapezoids similar?

Table of Contents

## How are triangles and trapezoids similar?

A triangle is a two-dimensional shape with three sides and three angles. A trapezoid is a four-sided, two-dimensional shape with two parallel sides. Trapezoids have two bases. Those are the sides that are parallel.

## What fraction of a trapezoid is a triangle?

It takes 3 triangles to cover the red trapezoid, so therefore each triangle is worth 1/3.

## How many triangles can you make if you divide a trapezoid diagonally?

The diagonals of a trapezoid divide the interior region into four nonoverlapping triangles.

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

Since this problem provides the length for both of the bases as well as the total perimeter, the missing sides can be found using the following formula: Perimeter= Base one Base two (leg), where the length of “leg” is one of the two equivalent nonparallel sides.

## How do you solve a trapezoid problem?

Solution to Problem 1:

- Use the sine definition in a right triangle to find the height h of the trapezoid. sin D = h / CD.
- Solve the above for h. h = CD sin D = 2 sin 40.
- Use the formula of the area to obtain the following equation.
- The above equation has only one unknown: AD.
- Solve for AD.

## 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.

## How was the formula of a trapezoid derived?

Area of a trapezoid – derivation This page describes how to derive the forumula for the area of a trapezoid by creating a parallelogram from two congruent trapezoids. The formula is simply one half the area of this parallelogram. Start with a trapezoid with known base lengths (b1, b2) and altitude (height).