If a square is drawn on the height of an equilaterla triangle, then what will be the ratio between areas of the triangle and the square ?

If the height of an equilateral triangle be be 15 cm, then find the perimeter and area of triangle.

The side of a square is a and each of the sides of an equilateral triangle is a. Then the ratio of their areas is

A wire of length 36 cm is cut into two pieces . One of the pieces will be bent into the shape of a square and the other into the shape of an equilateral triangle . Find the length of each piece so that the sum of the areas of the square and triangle is minimum.

Sides of two similar triangles are in the ratio 4 : 9. Areas of these triangles are in the ratio___

The numerical value of the area and the height of an equilaterl triangle are equal. Find the length of the side of the triangle.

Equilateral triangles are drawn on the three sides of a right angled triangle. Show that the area of the triangle on the hypotenuse is equal to the sum of the areas of triangles on the other two sides.

If the angles of a triangle are in ratio 1 : 1 : 2, then the ratio of the sides of the triangle is

If the current through a conducting loop in the shape of an equilaterla triangle of side a be I, what will be the magnitude of the magnetic field of intersection of the three medians ?

If the area of the square drawn on any side of a triangle is equal to the sum of the areas of the squares drawn on the other two sides of the triangle ,then the triangle will be right-angled triangle, the opposite angle of the greatest side of which will be "......................" .

The diagonal of a square is 10sqrt(3)cm and the area of an equilateral triangle is equal to the area of the square. If a square is constructed on any side of the triangle, then find its area.