If the perimeter of an equilateral triangle is 30 meters, what is its height?

In the triangle ABC, AB = 2 cm, BC = 3 cm and AC = 4 cm. D is the middle point of AC. If a square is constructed on the side BC, what is the area of the square?

In the figure given below, PT=6 cm and PA=4 cm. What is the length of AB?

Each interior angle of a regular polygon is 144⁰. The number of sides of the polygon is 

A unique circle can always be drawn through x number of given non-collinear points, then X must be 

ΔABC is an equilateral triangle in which D, E and F are the points on sides BC, AC and AB, respectively, such that AD ⊥ BC, BE ⊥ AC and CF ⊥ AB. Which of the following is true?

Each internal angle of regular polygon is two times its external angle. Then the number of sides of the polygon is: 

The largest and the smallest angles of a triangle are in the ratio of 3:1 respectively. The second largest angle of the triangle is equal to 56°. What is the value of largest angle of the triangle?