## 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.