construct a Δabc ,similar to a given isosceles triangle pqr , with qr=6cm,pr=pq=5cm such that each of its sides is 6/7 of the corresponding sides of the Δ pqr.
pl.give full solution
Draw triangle PQR, with PQ=PR= 5 cm.9 for convenience sake take the base as RQ.)
Draw a ray RT making an acute angle QRS with the side QR( below QR)
With the pointed end of the compass on R mark 7 points at equal distances on RS.
Mark the 7th point from R as T.
Mark the 6th point from R as S.
Thru' S , construct a line segment parallel to TQ.
Let this line segment meet the side RQ at A .
Thru' A construct a line segment AB parallel to PQ meeting RP in A.
ABR will be the triangle similar to triangle PQR.