How To Find The Perpendicular Height Of A Parallelogram

The labeled height is one of the parallelograms sides not a line perpendicular to the base.

How to find the perpendicular height of a parallelogram. We know the area. Learn how to plug in known values for the area base or height to manipulate the area formula. This tutorial demonstrates how to use the area formula for a parallelogram to determine either the base or the perpendicular height of the parallelogram. Sin o hc h c sin o is the formula for solving the height of a parallelogram without giving its area.

If you divide both sides of the formula by b you end up with the formula for h or the height. A b h where b is the base h is the height and means multiply. We explain determining base or height of a parallelogram with video tutorials and quizzes using our many waystm approach from multiple teachers. Let us call the shorter leg c.

The diagonals of a parallelogram bisect each other. In a parallelogram opposite sides have the same length. The area is 24 square units. If you know angle theta o you will be able to solve for the height h because the diagonal of the triangle is usually given as the shorter side of the parallelogram.

Find the area of a parallelogram having length of diagonals to be 10 and 22 cm and an intersecting angle to be 65 degrees. Formula of height of a parallelogram. To find the area of a parallelogram multiply the base by the height. So this is going to be six.

Example find the area of a parallelogram whose base is 5 cm and height is 8 cm. The height can be drawn outside the parallelogram as long as it is perpendicular to the base or an extension of the base. We have 24 is equal to six. You can use the formula for calculating the area of a parallelogram to find its height.

The area of a parallelogram is the base times perpendicularheightb times h. Therefore to calculate the area of a parallelogram multiply a height by the corresponding base. You can see that this is true by rearranging the parallelogram to make a rectangle. Is equal to six times the height.

Our height is what we want to figure out. How to find the area of any parallelogram using rectangle area formulas. Area 5 8 area 40 sqcm example. The parallel sides have the same length.

The base and height of a parallelogram must be perpendicular. Related topics include area of trapezoids and rhombuses. Opposite sides are equal in length and opposite angles are equal in measure. Our base is going to be six.

The corresponding base is the side perpendicular to the height. The base and height of the parallelogram are perpendicular. Solution given base 5 cm and height 8 cmwe know area base x height.