Name: Construction of Tangents From an Exterior Point
Uploaded: 2019-07-19
Duration: 6 min 26 s
Description: Two tangents can be drawn to a circle from a point outside the circle. Let's learn how to construct a pair of tangents to a circle from an external point wit...

Question

Inscribe a circle of an equilateral triangle having side

2.5 cm

.

Accepted Answer

Given: An equilateral triangle in which $A B = B C = C A = 2.5 cm$

We know that, in an equilateral triangle all the sides are equal and each angle is equals to $60 °$ .

To construct an equilateral triangle follow these steps:

$1 .$ Draw a line segment $B C = 2.5 cm$ .

$2 .$ Draw an arc of radius $2.5 cm$ taking $B$ as centre.

$3 .$ Draw another arc of radius $2.5 cm$ , taking $C$ as centre which intersects the previous arc at point $A$ .

$4 .$ Join $A B and A C$ .

Thus, the required $△ A B C$ is constructed.

To construct a incircle of $△ A B C$ , follow these steps:

Incircle is the point of intersection of angular bisectors of triangle.

$1 .$ Draw $B P and C Q$ the bisectors of angles $∠ B and ∠ C$ respectively which intersect each other at point $O$ .

$2 .$ Draw $O R ⊥ B C$ which intersects $B C at L$ .

$3 .$ Taking $O$ as centre and $O L$ as radius draw a circle which touches the sides $A B, B C and C A$ at points $N, L and M$ respectively.

Hence, circle passing through $L M N$ is the incircle of $△ A B C$ .

Inscribe a circle of an equilateral triangle having side $2.5 cm$ .

Important Questions on Constructions

Learn and Prepare for any exam you want !

Inscribe a circle of an equilateral triangle having side 2.5 cm.

Important Questions on Constructions

Learn and Prepare for any exam you want !

Inscribe a circle of an equilateral triangle having side $2.5 cm$ .