## Who invented cyclic quadrilateral?

This was derived by the Indian mathematician Vatasseri Parameshvara in the 15th century.

**What is the formula of cyclic quadrilateral?**

In a cyclic quadrilateral, p × q = sum of product of opposite sides, where p and q are the diagonals. The perpendicular bisectors are always concurrent. Let ∠A, ∠B, ∠C, and ∠D be the four angles of an inscribed quadrilateral. Then, ∠A+∠C=180° and ∠B+∠D=180°.

**Who was the first Indian mathematician who gave formula for sum of squares and cubes of natural numbers?**

Brahmagupta

Brahmagupta then goes on to give the sum of the squares and cubes of the first n integers.

### How do you prove Ptolemy’s Theorem?

In order to prove his sum and difference forumlas, Ptolemy first proved what we now call Ptolemy’s theorem. Ptolemy’s theorem: For a cyclic quadrilateral (that is, a quadrilateral inscribed in a circle), the product of the diagonals equals the sum of the products of the opposite sides. AC BD = AB CD + AD BC.

**Does herons formula work on Quadrilaterals?**

Ans: Yes. Heron’s formula is used to find the area of quadrilaterals by dividing them into two triangles.

**What is the theory of brahmagupta?**

In geometry, Brahmagupta’s theorem states that if a cyclic quadrilateral is orthodiagonal (that is, has perpendicular diagonals), then the perpendicular to a side from the point of intersection of the diagonals always bisects the opposite side. It is named after the Indian mathematician Brahmagupta (598-668).

## What is the formula brahmagupta proposed a cyclic quadrilateral and how did this compare to the work of Heron?

A square is a cyclic quadrilateral. Use Brahmagupta’s formula to calculate the area of a square with sides each equal to 6 inches. The expected answer is A = 62 = 36 square inches. S = (a + b + c + d)/2 = (6 + 6 + 6 + 6)/2 = 24/2 = 12.

**How do you prove brahmagupta’s Theorem?**

Hence, AFM is an isosceles triangle, and thus the sides AF and FM are equal. The proof that FD = FM goes similarly: the angles FDM, BCM, BME and DMF are all equal, so DFM is an isosceles triangle, so FD = FM. It follows that AF = FD, as the theorem claims.

**What is half the product of the diagonals?**

a rhombus

The area of a rhombus is equal to half the product of the lengths of the diagonals. The formula to calculate the area of a rhombus using diagonals is given as, Area = (d1 d 1 × d2 d 2 )/2 sq.

### How do you find a quadratic equation?

The equation of a quadratic function is in the form: y = ax² + bx +c. The graph of a quadratic function is a parabola.

**How to solve a quadratic equation?**

1. Combine all of the like terms and move them to one side of the equation. The first step to factoring an equation is to move all of the terms to one

**Who discovered the quadratic formula?**

The quadratic formula was first discovered about four thousand years ago by the Babylonians. The advantage of the quadratic formula is that is always work, but it is extremely time consuming.

## What is the history of quadratic formula?

History of The Quadratic Formula. The quadratic formula was done by Pythagoras in 500 BC using mathematical method and concurrent Euclid (Greek mathematician), produced a more abstract geometrical method because the early geometric methods did not appear to have a general formula.