(a) State the Basic Proportionality…

MATHEMATICS · Multi-part · CBSE · Mathematics · Triangles · Triangles

Problem

(a) State the Basic Proportionality Theorem. (a) State the Basic Proportionality Theorem. (b) In a triangle PQRPQR, points SS on PQPQ and TT on PRPR are chosen such that PSSQ=PTTR\dfrac{PS}{SQ}=\dfrac{PT}{TR}. Prove that ST ∥ QRST\,\parallel\,QR. (c) If PS:SQ=1:3PS:SQ = 1:3, find the ratio of the areas of △PST\triangle PST and △PQR\triangle PQR.

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