Home
Class 7
MATHS
If x is the length of a median of an ...

If `x` is the length of a median of an equilateral triangle, then its area is `x^2` (b) `1/2x^2` (c) `(sqrt(3))/2\ x^2` (d) `(sqrt(3))/3\ x^2`

Text Solution

Verified by Experts

The correct Answer is:
`(x^(2))/(sqrt(3))`
Promotional Banner

Topper's Solved these Questions

  • PERIMETER AND AREA

    S CHAND IIT JEE FOUNDATION|Exercise QUESTION BANK - 21(A) |19 Videos
  • PERIMETER AND AREA

    S CHAND IIT JEE FOUNDATION|Exercise QUESTION BANK - 21(B) |21 Videos
  • PERCENTAGE AND ITS APPLICATIONS

    S CHAND IIT JEE FOUNDATION|Exercise Self Assessment Sheet - 10|10 Videos
  • POLYGONS AND QUADRILATERALS

    S CHAND IIT JEE FOUNDATION|Exercise Self Assessment Sheet|10 Videos

Similar Questions

Explore conceptually related problems

If x is the length of a median of an equilateral triangle,then its area is (a) x^(2)( b) (1)/(2)x^(2)(c)(sqrt(3))/(2)backslash x^(2)(d)(sqrt(3))/(3)backslash x^(2)

The equation of the base of an equilateral triangle ABC is x+y=2 and the vertex is (2,-1). The area of the triangle ABC is: (sqrt(2))/(6) (b) (sqrt(3))/(6) (c) (sqrt(3))/(8) (d) None of these

P is a point on the line y+2x=1, and Q and R two points on the line 3y+6x=6 such that triangle PQR is an equilateral triangle.The length of the side of the triangle is (2)/(sqrt(5)) (b) (3)/(sqrt(5))(c)(4)/(sqrt(5))(d) none of these

Let g(x) be a function defined on [-1,1] .If the area of the equilateral triangle with two of its vertices at (0,0) a n d(x,g(x)) is (a) (sqrt(3))/(4) then the function g(x) is (b) g(x)=+-sqrt(1-x^(2))(cx)=sqrt(1-x^(2))(d)g(x)=-sqrt(1-x^(2))g(x)=sqrt(1+x^(2))(d)

The equation of the circle with origin as centre and passing through the vertices of an equilateral triangle whose median is of length 3a is: a x^(2)+y^(2)=9a^(2) b) x^(2)+y^(2)=16a^(2) c) x^(2)+y^(2)=4a^(2) d) x^(2)+y^(2)=a^(2)

A rectangle is inscribed in an equilateral triangle of side length 2a units.The maximum area of this rectangle can be sqrt(3)a^(2)(b)(sqrt(3)a^(2))/(4)a^(2)(d)(sqrt(3)a^(2))/(2)

If cos^-1(sqrt3x) and cos^-1 xare two angles of a right angled triangle, then x= (A) 1/sqrt(6) (B) 0 (C) sqrt(3)/2 (D) 1/2

Which of the following expressions are polynomials ? In case of a polynomial , write its degree. (i) x^(5)-2x^(3)+x+sqrt(3) (ii) y^(3)+sqrt(3)y (iii) t^(2)-(2)/(5)t+sqrt(5) (iv) x^(100)-1 (v) (1)/(sqrt(2))x^(2)-sqrt(2)x+2 (vi) x^(-2)+2x^(-1)+3 (vii) 1 (viii) (-3)/(5) (ix) (x^(2))/(2)-(2)/(x^(2)) (x) root(3)(2)x^(2)-8 (xi) (1)/(2x^(2)) (xii) (1)/(sqrt(5))x^(1//2)+1 (xiii) (3)/(5)x^(2)-(7)/(3)x+9 (xiv) x^(4)-x^(3//2)+x-3 (xv) 2x^(3)+3x^(2)+sqrt(x)-1

If the equation of base of an equilateral triangle is 2x-y=1 and the vertex is (-1,2), then the length of the sides of the triangle is sqrt((20)/(3)) (b) (2)/(sqrt(15))sqrt((8)/(15)) (d) sqrt((15)/(2))