## What does S mean in Herons formula?

semi-perimeter

Heron’s formula states that the area of a triangle whose sides have lengths a, b, and c is. where s is the semi-perimeter of the triangle; that is, Heron’s formula can also be written as.

## What is herons formula to find area of triangle?

Heron’s formula is used to find the area of a triangle that has three different sides. The Heron’s formula is written as, Area = √[s(s-a)(s-b)(s-c)], where a, b and c are the sides of the triangle, and ‘s’ is the semi perimeter of the triangle.

**How do you find the area of a herons quadrilateral?**

We can use Heron’s formula to determine the formula for the area of the quadrilateral by dividing it into two triangles. Let us say we have a quadrilateral ABCD with the length of its sides measuring a, b, c, and d. Let us say A and B are joined to show the diagonal of the quadrilateral having length e.

**Who gave Heron’s formula?**

Heron of Alexandria

Heron’s formula, formula credited to Heron of Alexandria (c. 62 ce) for finding the area of a triangle in terms of the lengths of its sides.

### What is the formula of area quadrilateral?

Area of General Quadrilateral Formula = 1/2 x diagonals length x ( sum of the height of two triangles ).

### Can we use Heron’s formula to find the area of rhombus?

Heron’s formula is for finding area of a triangle. Rhombus ABCD is a quadrilateral. Divide it into two Δs ABC and BCD.

**What is the formula of S in physics?**

If there is no acceleration, we have the familiar formula: s=vt where s is the displacement, v the (constant) speed and t the time over which the motion occurred.

**When do you use Heron’s formula to find area?**

Heron’s formula is used to find the area of a triangle when we know the length of all its sides . It is also termed as Hero’s Formula. We don’t have to need to know the angle measurement of a triangle to calculate its area.

## How do you prove Heron’s formula?

To find the proof of Heron’s formula with trigonometry, we need to use another triangle area formula – given two sides and angle between them: area = 0.5 * a * b * sin(γ) To derive the proof for Heron’s formula in this case, we need to express sine of the angle in terms of the triangle sides.

## What is the derivation of Heron’s formula?

Derivation of Heron’s formula: This formula has been named after the Egyptian mathematician Heron. This famous formula is about finding the area of a triangle when its all three sides are given. It is derived from the formula of area of triangle = 1/2 * base * height .

**How can Heron’s formula be derived?**

A formula for computing the area of a triangle given the three side lengths can be derived from the formula above by rewriting sin(C) using the Law of Cosines. This is known as Heron’s Formula. A derivation of Heron’s Formula is carried out below with a brief explanation of each step.