Angles of `50^circ` and `65^circ` are drawn at the end of a 5 cm
long line, to make a triangle. Calculate its area.

A line makes angles of 45^circ and 60^circ with the positive axes of X and Y respectively. What angle does it makes with the positive axis of Z

In the figure, line AB is parallel to CD. AB=5 cm , AC=4 cm, angle CAB= 90^circ . a) Calculate the area of triangle ABC. b) How much is the area of triangle ABD? Write reason.

The lengths of two sides of a triangle are 8 cm and 10 cm and the angle between them is 40^circ . Calculate its area. What is the area of the triangle with sides of the same Iength, but angle between them 140^circ ?

A circle is to. be drawn, passing through the ends of a line, 5 centimetres long, and the angle,on the circle on one side: of the line should be 80^(circ) : What should be the radius of the circle?

The length of the perpendicular drawn from a vertex to opposite side of an equilateral triangle is '12 cm'. Calculate its perimeter and area.

One side of a triangle is 6 cm and the angle at its ends are 40^circ and 65^circ . Calculate its area.

What is the area of a sector of central angle 120^(circ) in a circle of radius 3 centimetres? What is the areá of a sector of. the same central angle in a circle of radius 6 centimetres?

The perpendicular sides of a right angled triangle are 12 and 15 centimetres long. Another right angled triangle of the same area has one of the perpendicular sides 18 centimetres long. What is the length of the other?

The sides of a parallelogram are 8 cm and 12 cm and the angle between them is 50^circ . Calculate its area.

A sector of radius '15 cm' and central angle 144^circ is folded in such a way as to make a cone. What is the slant heighit of the.cone. Calculate volume.