# Maths formulas for class 10 chapter- Constructions Formula

#### Math Formulas

For drawing geometrical figures such as a triangle, a circle, a quadrilateral, a polygon, etc. with given measurements some basic geometrical instruments are needed

- A pair of set-squares, with angles 90°, 60° and 30° and other with angles 90°, 45° and 45°
- A divider
- A compass with provision of fitting a pencil at one end.
- A protractor

But a geometrical construction is the process of drawing a geometrical figure using only two instruments- an un graduated ruler and a compass. In construction where measurements are also required, one may use a graduated scale and protractor also.

## Basic Constructions

- To construct the bisector of a given angle.
- To construct the perpendicular bisector of a given line segment. 3 To construct and angle of 30°, 45°, 60°, 90°, 120° at the initial point of a given ray.

### Construction of a Tangent to a Circle

- To draw the tangent to a circle at a point on it without using the center of the circle.
- To draw a tangent to a circle from a point outside the circle using its center.
- To draw tangents to a circle from a point outside the circle without using its center.
- To construct an incircle of the triangle whose sides are given to be a, b, and c.
- To construct the circumcircle of the triangle with sides a, b and c.

### Construction of Triangles

- To construct a triangle with a given base, vertical angle, and altitude through the vertex.
- To construct a triangle with a given base, given vertical angle, and the median through the vertex.
- To construct a triangle similar to a given triangle as per the given scale factor.

### Construction of Quadrilaterals

- To construct a quadrilateral similar to a given quadrilateral as per the given scale factor.

Physics Wallah prepared detail **NCERT Solutions** do solve questions given in NCERT text book with the help of **NCERT Solution for class 10 Maths**. Students can also access the **class 10 math notes** from here and If any students need to take the online test to check their concepts or undertstanding then they can visit **Maths Quiz for class 10**.

**To download the pdf of maths formulas for class 10 chapter- Constructions click the Link given below **