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# How Do You Find the Height of a Trapezoid?

Using the area, the height is found by dividing twice the area by the sum of the two bases of the trapezoid. Without the area, the height is found by using the Pythagorean Theorem; right triangles can be formed from the ends of the trapezoid. The slanted edges form the hypotenuses, and the length of the triangle's bottom sides is half of the difference between the two bases.

Continue ReadingThe Pythagorean Theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the legs. This equation can be modified to find one of the legs if the hypotenuse and the other leg is known; in this case, the tall leg is the height of the trapezoid. The legs of a right triangle are defined as the sides of the triangle opposite from the acute angle and form the shorter two sides of the triangle. The equation that uses the area of the trapezoid is found by manipulating the original equation for the area of the trapezoid and solving it for the height. Trapezoids have plenty of uses outside of math. In architecture, trapezoids are used to refer to symmetrical doors, windows or buildings that are built wider at the base and tapered towards the top. This style was the standard style of architecture used by the Incas.

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## What Is the Formula for the Surface Area of a Pyramid?

A: The formula for calculating the total surface area of a pyramid is: S = (1/2)Pl + B. The surface area of a pyramid is the total sum of the lateral area com... Full Answer >Filed Under: -
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## What Is the Lateral Area?

A: Lateral area is defined as the sum of the areas of all the faces of an object, except for the base of the object. This math term is often abbreviated as L.... Full Answer >Filed Under: -
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## How Do You Find the Area of a Quadrilateral?

A: To find the area of a quadrilateral, find the height and width of the shape (for rectangles, squares, parallelograms and trapezoids), and then multiply the... Full Answer >Filed Under: -
Q:
## How Do You Find Volume?

A: The volume of a box with height "a" and basal area "B" is given by the formula V = a*B, and the volume of a spherical solid of radius "r" is given by the f... Full Answer >Filed Under: