दिइएको चित्रमा समानान्तर चतुर्भुज PQRS भित्र कुनै एउटा विन्दु X छ । In the given figure, X is any point within a parallelogram PQRS. [Figure:…
SEE Class 10 Compulsory Maths · 2080 · Solved Question with Answer
दिइएको चित्रमा समानान्तर चतुर्भुज PQRS भित्र कुनै एउटा विन्दु X छ ।
In the given figure, X is any point within a parallelogram PQRS.
[Figure: Parallelogram PQRS with an interior point X and diagonals drawn]
a) एउटै आधार र उही समानान्तर रेखाहरू बिच बनेका त्रिभुज र समानान्तर चतुर्भुजको क्षेत्रफलबीचको सम्बन्ध लेख्नुहोस् ।
Write the relationship between the area of triangle and a parallelogram standing on the same base and between the same parallel lines.
b) के \(\triangle PQX\) र \(\triangle RSX\) को क्षेत्रफल सधै बराबर हुन्छन् ? कारण दिनुहोस् ।
Are the areas of \(\triangle PQX\) and \(\triangle RSX\) always equal? Give reason.
c) चतुर्भुज ABCD को रचना गर्नुहोस् । जहाँ, \(AB = 5.1\) से.मि., \(BC = 4.9\) से.मि., \(CD = 5.5\) से.मि., \(DA = 6.1\) से.मि., र \(BD = 5.3\) से.मि. छन् । उक्त चतुर्भुजको क्षेत्रफलसँग बराबर हुने गरी एउटा त्रिभुजको पनि रचना गर्नुहोस् ।
Construct a quadrilateral ABCD with \(AB = 5.1\) cm, \(BC = 4.9\) cm, \(CD = 5.5\) cm, \(DA = 6.1\) cm and \(BD = 5.3\) cm. Also, construct a triangle whose area is equal to the area of the quadrilateral.