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दिइएको चित्रमा PQRS एउटा चतुर्भुज हो । जसको भुजा QR लाई विन्दु T सम्म लम्ब्याइएको छ । PR∥ST छ । In the given figure, PQRS is a quadrilateral whose…

SEE Class 10 Compulsory Maths · 2082 · Solved Question with Answer

दिइएको चित्रमा PQRS एउटा चतुर्भुज हो । जसको भुजा QR लाई विन्दु T सम्म लम्ब्याइएको छ । PR∥ST छ ।

In the given figure, PQRS is a quadrilateral whose side QR is produced to the point T and PR∥ST.

[Figure: Quadrilateral PQRS with side QR extended to point T, PR parallel to ST, and point O inside]

(a) \(\triangle PRS\) र \(\triangle PRT\) को क्षेत्रफलविचको सम्बन्ध लेख्नुहोस् ।

Write the relation of the areas of \(\triangle PRS\) and \(\triangle PRT\).

(b) \(\triangle PQT\) र चतुर्भुज PQRS को क्षेत्रफल बराबर हुन्छ भनी प्रमाणित गर्नुहोस् ।

Prove that the areas of \(\triangle PQT\) and quadrilateral PQRS are equal in area.

(c) प्रमाणित गर्नुहोस् : \(\triangle POS\) को क्षेत्रफल = \(\triangle ROT\) को क्षेत्रफल

Prove that: Area of \(\triangle POS\) = Area of \(\triangle ROT\).

Solution

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