Home
Class 12
MATHS
Let a point P lies inside an equilater...

Let a point P lies inside an equilateral `triangle ABC` such that its perpendicular distances from sides are `P_(1),P_(2),P_(3)`.If side length of `triangle ABC` is 2 unit then

A

`(P_(1)+P_(2)+P_(3))` is equal to `sqrt(3)`

B

`(P_(1)+P_(2)+P_(3))` is equal to `4sqrt(3)`

C

Area of `triangle=sqrt(3)` Sq unit

D

Area of `triangle ABC =3` Sq unit

Text Solution

Verified by Experts

The correct Answer is:
A, C
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

ABC is an equilateral triangle of side 2a. Find each of its altitude.

Draw an equilateral triangle whose sides are 5.2 cm. each

Knowledge Check

  • The area of an equilateral triangle with each side measuring 10 cm is …………. cm^(2)

    A
    `(5sqrt(3))/(2)`
    B
    `25 sqrt(3)`
    C
    `5 sqrt(3)`
    D
    `3 sqrt(5)`

    • Similar Questions

    Explore conceptually related problems

    In an equilateral triangle ABC, D is a point on side BC such that BD= (1)/(3)BC . Prove that 9AD^(2)= 7AB^(2) .

    In an equilateral triangle with side a, prove that, the area of the triangle (sqrt(3))/(4)a^(2) .

    In triangle ABC , the bisector AD of angle A is perpendicular to side BC (see the given figure). Show that AB = AC and triangle ABC is isosceles.

    let ABC be a right angled triangle at C. If the inscribed circle touches the side AB at D and (AD) (BD)=11, then find the area of triangle ABC. .

    In an equilateral triangle with side a, prove that, the altitude is of length (sqrt(3))/(2)a .

    If a vertex of a triangle is (1, 1) and the mid-points of two side through this vertex are (-1, 2) and (3, 2), then centroid of the triangle is

    D is a point on side BC of triangle ABC such that AD = AC (see the given figure). Show that AB gt AD.

    Home
    Profile