Can any sides of a parallelogram be the base?

Can any sides of a parallelogram be the base?

Any side of a parallelogram can be a base. A height can be drawn at any angle to the side chosen as the base. A base and its corresponding height must be perpendicular to each other.

What is the shortest distance from a vertex of a triangle to the opposite side?

The altitude is the shortest distance from a vertex to its opposite side. The word ‘altitude’ is used in two subtly different ways: It can refer to the line itself.

Does a parallelogram have all sides the same length?

In Euclidean geometry, a parallelogram is a simple (non-self-intersecting) quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

Which side of a parallelogram is the base?

Both the side (the segment) and its length (the measurement) are called the base. If we draw any perpendicular segment from a point on the base to the opposite side of the parallelogram, that segment will always have the same length.

Where is the base of parallelogram?

Only a horizontal side of a parallelogram can be a base. Any side of a parallelogram can be a base. A height can be drawn at any angle to the side chosen as the base.

Is the base of a parallelogram always the longest side?

Lesson Summary The parallelogram is a quadrilateral with opposite sides parallel; it always has four sides, and one longer side will always be its base.

What is base of parallelogram?

A base of a parallelogram is defined to be any one of the sides of the parallelogram. There are two possible values for the height of the parallelogram, depending on which side of the parallelogram is chosen as the base. b: The length of base of the parallelogram.

What is the length of the longer diagonal of a parallelogram?

The longer side of a parallelogram is 10 cm and shorter is 6 cm. If the longer diagonal makes an angle 30 degrees with the longer side, find the length of the longer diagonal. In this question let $AB=10$ & $BC=6$. Height can be determined by $ab\\sin\heta = base \imes height$ Therefore height = 3.

How do you find the area of a parallelogram without height?

Parallelogram Area Without Height. If the height of the parallelogram is unknown to us, then we can use trigonometry concept here to find its area. Area = ab sin (x) Where a and b are the length of parallel sides and x is the angle between the sides of the parallelogram.

What is the corollary of the area of a parallelogram?

Corollary: A parallelogram and a rectangle on the same base and between the same parallels are equal in area. Proof: Since a rectangle is also a parallelogram so, the result is a direct consequence of the above theorem. Theorem: The area of a parallelogram is the product of its base and the corresponding altitude.

Are two parallelograms on the same base equal?

Theorem: Parallelograms on the same base and between the same parallel sides are equal in area. Proof: Two parallelograms ABCD and ABEF, on the same base DC and between the same parallel line AB and FC. To prove that area (ABCD) = area (ABEF).