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# How do you find the diagonals of a kite?

## How do you find the diagonals of a kite?

First find the length of the missing diagonal before you can find the sum of the two perpendicular diagonals. To find the missing diagonal, apply the area formula: This question provides the area of the kite and length of one diagonal, plug that information into the equation to solve for the missing diagonal.

## What is kite diagonal theorem?

THEOREM: If a quadrilateral is a kite, it has one diagonal that bisects a pair of opposite angles. THEOREM: If a quadrilateral is a kite, it has one diagonal that bisects the other diagonal. THEOREM: If one of the diagonals of a quadrilateral is the perpendicular bisector of the other, the quadrilateral is a kite.

How many diagonals has a kite?

two diagonals
Every kite has two diagonals.

### Are the diagonals of a kite 90 degrees?

The intersection of the diagonals of a kite form 90 degree (right) angles. This means that they are perpendicular. The longer diagonal of a kite bisects the shorter one. This means that the longer diagonal cuts the shorter one in half.

### Are the diagonals of a kite equal?

Kite has 2 diagonals that intersect each other at right angles. A kite is symmetrical about its main diagonal. Angles opposite to the main diagonal are equal. The kite can be viewed as a pair of congruent triangles with a common base.

How do you find the area of a kite without diagonals?

Kite area formula If you know two non-congruent side lengths and the size of the angle between those two sides, use the formula: area = a * b * sin(α) , where α is the angle between sides a and b .

#### What are product of diagonals of a kite?

The area of a kite is half the product of the lengths of its diagonals.

Do the diagonals of a kite bisect?

The diagonals of a kite bisect each other.

## Are the diagonals of a kite perpendicular?

Proof: The diagonals of a kite are perpendicular.

## How are the diagonals of a kite compared to each other?

The diagonals are equal in length, and bisect each other at right angles. The two diagonals, and the two lines joining the midpoints of opposite sides, are axes of symmetry.