Find the area of the shaded portion of an equilateral triangle with sides 6 units shown in the following figure. A circle of radius 1 unit is centred at midpoint of a side of the triangle.

The sides of a triangle are in the ratio of 1/9:1/11:1/13 and its perimeter is 718 cm . Find the length of its longest side in metre.

The ratio of the length of each equal side and the third side of an isosceles triangle is 5:6. If the area of the triangle is √11664 sq.cm., then the length of the third side (in cm ) is:

The length of the base of a triangle is 2 cm more than the corresponding height. If the area of the triangle is 220 cm³, then find the length of the base of the triangle.

Find the area of a triangle with a base of 10 cm and a height of 5 cm .

If the sides of a triangle are in ratio 3: 4: 5 and its perimeter is 36 cm, then its area is:

The area of a triangle is 250 cm². The ratio of its base to its height is 4: 5. Find the length of its height.

What is the area of the segment formed by a chord in a circle of radius 8 cm, if the angle subtended at the center is 60°?

A circular disc of radius 7 cm is inscribed inside an equilateral triangle. What is the approximate area of the remaining portion of the triangle?

A right triangle has sides 3, 4, and 5. A smaller triangle is drawn inside it with its vertices on the sides of the larger triangle, such that it is similar to the larger triangle. If its perimeter is 6, what is its area?

Calculate the area of the isosceles triangle with length of equal sides 5 cm and the third side 8 cm.