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In an equilateral triangle, another equilateral triangle is drawn inside joining the mid-points of the sides of the given equilateral triangle and the process continues uptofive times. What is the ratio of the area of fourth triangle to that of sixth triangle? (Original triangle is counted as 1st triangle)
∆ABC and ∆PQR are equilateral triangles, BQ = 6 cm and CR = 2 cm. If the difference between area of ∆ABC and ∆PQR is 24√3 cm2, then what will be inradius (cm) of equilateral ∆OQC?
The side of an equilateral triangle ABC is 28 cm. Find the side of another equilateral PQR whose area is 16 times the area of triangle ABC.
In an equilateral triangle, another equilateral triangle is drawn inside joining the mid-points of the sides of the given equilateral triangle and the process continues up to seven times. What is the ratio of the area of fourth triangle to that of seventh triangle?
In triangle PQR length of the side QR is less than twice the length of the side PQ by 2 cm. Length of the side PR exceeds the length of the side PQ by 10 cm. The perimeter is 40 cm. the length of the smallest side of the triangle PQR is:
In triangle PQR length of the side QR is less than twice the length of the side PQ by 2 cm. Length of the side PR exceeds the length of the side PQ by 10 cm. The perimeter is 40 cm. The length of the smallest side of the triangle PQR is :
One side of a triangle and a rectangle is the same. The third vertex of the triangle lies on the midpoint of the rectangle side opposite the common side. The rectangle sides are in the ratio 2 : 3 and the common side is the longer side of the rectangle.  What is the sin value of the angle between the common side and the equal side of the triangle?
Side of an equilateral triangle is 50% of side of a square whose side is 18 cm long. Area of equilateral triangle is:
The side of an equilateral triangle is 12 cm. Find the perimeter of the equilateral triangle whose side is twice of the first triangle.
Calculate the number of equilateral triangle that can be produced by melting and recasting a metallic sphere having a radius equal in length to the side of equilateral triangle.  (The equilateral triangle and sphere are having uniform thickness and also there is no loss of material in melting and recasting).