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 joi

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.

Monjur Alahi

7 views

2025-01-04 04:42

1 Answers

Salim Ahmed Kawsar

Correct Answer - `432sqrt3 cm^(2)`

7 views Answered 2023-02-05 15:29

Related Questions

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

2 Answers 8 Views

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

2 Answers 5 Views

If one side of a triangle is double the other, and the angles on opposite sides differ by `60^(@)`, then the triangle is

2 Answers 5 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

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

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

If the area of an equilateral triangle is 9√3 cm^2 then its side is –

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 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

2 Answers 6 Views

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

2 Answers 5 Views

এক্সাম দিয়ে মেধা যাচাই করুন

Job Preparation (1125)

Admission (754)

এসএসসি (10)

এইচএসসি (5)