दिइएको चित्रमा एउटै आधार BC र उही समानान्तर रेखाहरू AF र BC बीच समानान्तर चतुर्भुज EBCF र वर्ग ABCD छन् ।
In the given figure, parallelogram EBCF and square ABCD are on the same base BC and between the same parallel lines AF and BC.
[Figure: Parallelogram EBCF and square ABCD on same base BC between parallel lines AF and BC, with points A, E, D, F on top line and B, C on bottom]
(a) एउटै आधार र उही समानान्तर रेखाहरूविचका समानान्तर चतुर्भुजहरूको क्षेत्रफलविचको सम्बन्ध लेख्नुहोस् ।
Write the relation between the areas of parallelograms standing on the same base and between same parallel lines.
(b) प्रमाणित गर्नुहोस् (Prove that):
स.च. EBCF को क्षेत्रफल = वर्ग ABCD को क्षेत्रफल
Area of parallelogram EBCF = Area of square ABCD.
(c) दिइएको चित्रमा PQRS एउटा समानान्तर चतुर्भुज हो र TR को मध्यबिन्दु M छ ।
In the given figure PQRS is a parallelogram and M is the mid-point of TR.
[Figure: Parallelogram PQRS with diagonal TR and M as midpoint of TR, shaded region TQM and SRM]
प्रमाणित गर्नुहोस् (Prove that):
\(\triangle TQM = \dfrac{1}{2}(\triangle PQT + \triangle SRT)\)
