दिइएको चित्रमा \(\triangle ABC\) र \(\triangle BCD\) एउटै आधार BC र उही समानान्तर रेखाहरू AD र BC बिच रहेका छन् । विन्दु B बाट रेखा AC मा लम्ब BP खिचिएको छ ।
In the given figure, \(\triangle ABC\) and \(\triangle BCD\) are standing on same base BC and between same parallel lines AD and BC. From the point B, a perpendicular BP is drawn to the line AC.
[Figure: Triangles ABC and BCD on same base BC between parallel lines AD and BC, with perpendicular BP from B to AC]
(a) दिइएको चित्रमा \(\triangle BAD\) को क्षेत्रफलसँग बराबर हुने त्रिभुजको नाम लेख्नुहोस् ।
Write the name of triangle whose area is equal to area of \(\triangle BAD\) in the given figure.
(b) यदि \(AC = 9\) से.मि. र \(BP = 6\) से.मि. भए त्रिभुज BCD को क्षेत्रफल पत्ता लगाउनुहोस् ।
If \(AC = 9\) cm and \(BP = 6\) cm, find the area of triangle BCD.
(c) दिइएको चित्रमा PQRS एउटा समलम्ब चतुर्भुज हो । जहाँ PQ\(\parallel\)SR छ । साथै M र N क्रमशः विकर्णहरू PR र QS का मध्यविन्दुहरू हुन् भने \(\triangle MSR = \triangle NSR\) हुन्छ भनि प्रमाणित गर्नुहोस् ।
In the given figure, PQRS is a trapezium, where PQ\(\parallel\)SR. M and N are the mid points of the diagonals PR and QS respectively. Prove that: \(\triangle MSR = \triangle NSR\).
[Figure: Trapezium PQRS with PQ parallel SR, M and N as midpoints of diagonals PR and QS]
