दिइएको चित्रमा \(EC \parallel AB\) , \(DA \parallel CB\) र \(DF \perp BC\) छन् । In the given figure, \(EC \parallel AB\) , \(DA \parallel CB\) and…
SEE Class 10 Compulsory Maths · 2081 · Solved Question with Answer
दिइएको चित्रमा \(EC \parallel AB\), \(DA \parallel CB\) र \(DF \perp BC\) छन् ।
In the given figure, \(EC \parallel AB\), \(DA \parallel CB\) and \(DF \perp BC\).
[Figure: Figure showing EC parallel AB, DA parallel CB, DF perpendicular BC with points E, D, C, F, A, B labeled]
(a) एउटै आधार र उही समानान्तर रेखाहरू बिच रहेका त्रिभुज र समानान्तर चतुर्भुजको क्षेत्रफल बिचको सम्बन्ध लेख्नुहोस् ।
Write the relation between the areas of triangle and parallelogram standing on the same base and between same parallel lines.
(b) यदि \(BC = 6\) से.मि. र \(DF = 8\) से.मि. भए \(\triangle ABE\) को क्षेत्रफल पत्ता लगाउनुहोस् ।
If \(BC = 6\) cm and \(DF = 8\) cm, find the area of \(\triangle ABE\).
(c) दिइएको चित्रमा यदि \(\triangle AOB\) को क्षेत्रफल र \(\triangle COD\) को क्षेत्रफल बराबर छन् भने \(AD \parallel BC\) हुन्छन् भनी प्रमाणित गर्नुहोस् ।
In the given figure, if area of \(\triangle AOB\) and area of \(\triangle COD\) are equal, then prove that \(AD \parallel BC\).
[Figure: Figure with points A, D on top and B, C on bottom, O at intersection of diagonals]