One vertex of an equilateral triangle is `(2,2)` and its centroid is `(-2/sqrt3,2/sqrt3)` then length of its side is

Question

One vertex of an equilateral triangle is `(2,2)` and its centroid is `(-2/sqrt3,2/sqrt3)` then length of its side is

One vertex of an equilateral triangle is `(2,2)` and its centroid is `(-2/sqrt3,2/sqrt3)` then length of its side is
A. `4sqrt(2)`
B. `4sqrt(3)`
C. `3sqrt(2)`
D. `5sqrt(2)`

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

Related Questions

The locus of the point of intersection of the lines `sqrt3 x- y-4sqrt3 t= 0 & sqrt3 tx +ty-4 sqrt3=0` (where t is a parameter) is a hyperbola whose ec

2 Answers 5 Views

The longest side of a triangle is three times the shortest side and the third side is 2 cm shorter than the longest side if the perimeter of the trian

2 Answers 4 Views

The area of triangle `A B C` is `20c m^2dot` The coordinates of vertex `A` are `-5,0)` and those of `B` are `(3,0)dot` The vertex `C` lies on the line

2 Answers 6 Views

In triangle `A B C` , base `B C` and area of triangle are fixed. The locus of the centroid of triangle `A B C` is a straight line that is parallel to

2 Answers 4 Views

Let G be the centroid of triangle ABC and the circumcircle of triangle AGC touches the side AB at A If `angleGAC = (pi)/(3) and a = 3b`, then sin C is

2 Answers 7 Views

Let G be the centroid of triangle ABC and the circumcircle of triangle AGC touches the side AB at A If AC = 1, then the length of the median of triang

2 Answers 6 Views

There is an equilateral triangle with side 4 and a circle with the centre on one of the vertex of that triangle. The arc of that circle divides the tr

2 Answers 5 Views

Calculate the magnetic field at the orthocenter of an equilateral triangle, 20 cm on each side. The current through the wire forming the triangle is 1

2 Answers 5 Views

Each side of an equilateral triand 12 is \( 24 cm \) the mid - point of its sides are joined to form another tranpla this brress is doins centinuously infinite 46. The perimeter of 7 th triangle is \( ( \) in \( cm ) \) a) \( \frac{3}{4} \) b) \( \frac{5}{8} \) c) \( \frac{9}{8} \) d) \( \frac{7}{8} \) 47. The sum of perimeter of all triangle is (in \( cm \) ) a) 144 b) 625 c) 400 d) 169 48. The area of all the triangle is (in sq cm) a) 576 b) \( 144 \sqrt{3} \) c) \( 169 \sqrt{3} \) d) \( 192 \sqrt{3} \) 49. The sum of perimeter of first 6 triangle is (in \( cm \) ) a) 120 b) \( \frac{567}{4} \) c) \( \frac{569}{4} \) d) 144 50. The side of the 5th triangle is (in \( cm \) ) a) 6 b) \( 1.5 \) c) \( 0.75 \) d) 3

2 Answers 5 Views

The area of a triangle is 5. Two of its vertices are `(2, 1)` and `(3, -2)` . The third vertex lies on `y=x+3` . Find the third vertex.

2 Answers 5 Views

Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - A
Given are centroid `G(-(2)/(sqrt3),(2)/(sqrt3))` and one vertex `A(2,2)`
`therefore` Length of side of triangle
`=sqrt(3)GA`
`=sqrt(3)sqrt((-(2)/(sqrt3)-2)^2+((2)/(sqrt3)-2)^2)`
`=2sqrt((1+sqrt3)^2+(1-sqrt3)^2)=2sqrt8=4sqrt2`

4 views Answered 2023-02-05 15:29