दिइएको चित्रमा \(PQ \parallel RS\) , \(RX \parallel SQ\) र \(PR \parallel YS\) दिइएका छन् । In the given figure, \(PQ \parallel RS\) , \(RX \parallel…
SEE Class 10 Compulsory Maths · 2082 · Solved Question with Answer
दिइएको चित्रमा \(PQ \parallel RS\), \(RX \parallel SQ\) र \(PR \parallel YS\) दिइएका छन् ।
In the given figure, \(PQ \parallel RS\), \(RX \parallel SQ\) and \(PR \parallel YS\) are given.
[Figure: Figure with PQ parallel RS, RX parallel SQ, PR parallel YS, showing triangles and parallelograms]
(a) त्रिभुज QRS र समानान्तर चतुर्भुज PRSY को क्षेत्रफलविचको अनुपात लेख्नुहोस् ।
Write the ratio of areas of triangle QRS and parallelogram PRSY.
(b) समानान्तर चतुर्भुज PRSY र समानान्तर चतुर्भुज XRSQ को क्षेत्रफल बराबर हुन्छ भनी प्रमाणित गर्नुहोस् ।
Prove that the areas of parallelogram PRSY and parallelogram XRSQ are equal.
(c) भुजाहरू \(BC = 6\) से.मी., \(AC = 7\) से.मी. र \(\angle ABC = 75^\circ\) भएको एउटा त्रिभुज ABC रचना गरी उक्त त्रिभुजको क्षेत्रफलसँग बराबर हुने गरी भुजा \(ED = 6.5\) से.मी. भएको एउटा समानान्तर चतुर्भुज CDEF को रचना गर्नुहोस् ।
Construct a triangle ABC in which sides \(BC = 6\) cm, \(AC = 7\) cm and \(\angle ABC = 75^\circ\). Also construct parallelogram CDEF whose one side \(ED = 6.5\) cm and equal in area to the given triangle.