Using ruler and compasses only, construct a quadrilateral ABCD in which AB = 6 cm, BC = 5 cm, ∠B = 60°, AD = 5 cm, and D is equidistant from AB and BC. Measure CD. (1983)
Solution:
Construct an isosceles triangle ABC such that AB = 6 cm, BC = AC = 4 cm. Bisect ∠C internally and mark a point P on this bisector such that CP = 5 cm. Find the points Q and R which are 5 cm from P and also 5 cm from the line AB (2001)
Solution:
More Solutions:
- Draw a circle of radius 4 cm and mark two chords AB and AC.
- Draw the locus of all points which are equidistant from A and B.
- Construct the locus of a point P such that area of triangle PAB is 14 cm².
- AB and CD are two intersecting lines.
- Construct a rhombus PQRS whose diagonals PR, QS are 8 cm and 6 cm.
- By using ruler and compass only, construct a quadrilateral ABCD.