Question

Plot the points P (1,0), Q (4,0) and S (1,3) on a graph paper and find the coordinates of the point R such that PQRS is a square.

Write the coordinates of the vertices of a rectangle whose length and breadth are 5 and 3 units respectively, one vertex at the origin, the longer side lies on the x-axis and one of the vertices lies in the third quadrant.

Each side of an equilateral triangle is 2x cm. If x√3 = √48, then area of the triangle is

The perimeter of a right triangle is 144 cm and its hypotenuse measures 65 cm. Find the lengths of other sides and calculate its area. Verify the result using Heron's Formula.