Construct a rhombus PQRS whose diagonals PR, QS are 8 cm and 6 cm respectively. Find by construction a point X equidistant from PQ, PS and equidistant from R, S. Measure XR.
Solution:
Without using set square or protractor, construct the parallelogram ABCD in which AB = 5.1 cm. the diagonal AC = 5.6 cm and the diagonal BD = 7 cm. Locate the point P on DC, which is equidistant from AB and BC.
Solution:
More Solutions:
- Given below, AB is a diameter of a circle with centre O.
- P is the point of intersection of the chords BC and AQ.
- CP bisects ∠ACB. Prove that DP bisects ∠ADB.
- Given below, chords AB and CD of a circle intersect at E.
- AE and BC intersect each other at point D. If ∠CDE = 90°.
- Calculate the perimeter of the cyclic quadrilateral PQRS.