One side of an equilateral triangle is 36 cm. The mid-points of its sides are joined to form another triangle. Again another triangle is formed by joining the mid-points of the sides of this triangle and the process is continued indefinitely. Determine the sum of areas of all such triangles including the given triangle.
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A pyramid has four faces, all of them being equilateral triangle of side a. A charge Q is placed at the centre of one of the faces. What is the flux o
Correct Answer - `(Q)/(6epsilon_(0))`
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The sides of a triangle are in A.P. and its area is `(3)/(5)` th of an equilateral triangle of the same perimeter. Find the greatest angle of the tria
Correct Answer - `120^(@)` Let the sides be `x - d, x, x + d`. Then `s = (3x)/(2), (s -a) = (x)/(2) + d`, `(s-b) = (x)/(2), (s-c) = (x)/(2)...
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If one side of a triangle is double the other, and the angles on opposite sides differ by `60^(@)`, then the triangle is
Correct Answer - C `a = 2b and A - B = 60^(@)` We know that `tan.(A -B)/(2) = (a -b)/(a + b) cot.(C)/(2)` or `tan 30^(@) = (1)/(3) cot.(C)/(2)` or...
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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
Correct Answer - `sqrt((12sqrt3)/pi)` From the eqestion, `sqrt3/4xx16=2xx1/2r^2xxpi/3` `pir^2=12sqrt3orr=sqrt(12sqrt3)/pi`
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The sides of a square ABCD are formed of wires, each of resistance r and B is joined to D by a wire of resistance 2r. Find the equivalent resistance o
Correct Answer - i) 2/3r, ii) r, iii) 2/3r
2 Answers 1 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
Correct Answer - `9 xx 10^(-5)`T
2 Answers 2 views
If the area of an equilateral triangle is 9√3 cm^2 then its side is –
Correct answer is (A) 6 cm
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The base of a right pyramid is an equilateral triangle, each side of which is `6sqrt(3)` cm long and its height is 4 cm. Find the total surface area o
Correct Answer - `72 sqrt(3) cm^(2)`
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The perimeter of an isosceles triangle is 32 cm. The ratio of the equal side to its base is 3 : 2. Find the area of the triangle. Hint Ratio of sides
Correct Answer - `32 sqrt(3) cm^(2)`
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