# What are the diagonals of an isosceles trapezoid?

## What are the diagonals of an isosceles trapezoid?

The diagonals of an isosceles trapezoid have the same length; that is, every isosceles trapezoid is an equidiagonal quadrilateral. Moreover, the diagonals divide each other in the same proportions.

What is the formula of isosceles trapezium?

There are several dedicated isosceles trapezoid area formulas: bases a,b and height h given: A = (a + b) * h / 2. bases a,b and leg c given: compute h via the Pythagorean Theorem ( h is the square root of c² – (a-b)²/4 ) and A = (a + b) * h / 2.

### Are the diagonals of an isosceles trapezium equal?

An isosceles trapezium have equal opposite sides. Therefore diagonals of trapezium are equal.

How many diagonals does an isosceles triangle have?

Complete step-by-step answer: Triangles don’t have any diagonal since each vertex is adjacent to the other two. And, it’s not the case with quadrilaterals because a quadrilateral will have two pairs of opposite vertices. So, quadrilaterals have 2 diagonals.

## What is the diagonal of a triangle?

A triangle has no diagonals. We know that a diagonal always connects any two non-adjacent (non-consecutive) vertices of a polygon. Since all the vertices of a triangle are connected by sides, no diagonals can be formed.

What is the diagonal of a parallelogram?

The diagonal of a parallelogram is the line segment that joins the two non-adjacent vertices of the parallelogram. It is to be noted that 2 diagonals can be drawn in a parallelogram.

### What is the area of an isosceles trapezium?

The formula to calculate the area of an isosceles trapezoid is Area = (sum of parallel sides ÷ 2) × height.

What is a scalene trapezoid?

A scalene trapezoid is a trapezoid with no sides of equal measure, in contrast with the special cases below.

## Which type of trapezium has its diagonals are equal?

isosceles trapezium
Answer. Diagonals are equal only in the special case of trapezium that is known as a trapezoid (or isosceles trapezium).

How do you prove that the diagonals of a trapezium are equal?

1 Expert Answer The two non-parallel sides of the trapezoid must be congruent. The diagonals shall create two overlapping triangles that share the base as a common side. The base angles of a trapezoid are equal. The two diagonals are congruent by Corresponding Parts.