ABC is a triangle through vertex A a line RQ is drawn parallel to side

1.	ABC is a triangle through vertex A a line RQ is drawn parallel to side BC similarly PR and QP are the lines drawn through the vertex B and C parallel to AC and AB respectively to foam another triangle PQR. find the ratio of perimeter of Triangle ABC to that of triangle pqr
Answer» CLEARLY, ABCQ and ARBC are parallelograms. ∴BC=AQ and BC=AR ⇒AQ=AR ⇒A is the mid-point of QR. Similarly, B and C are the mid-points of PR and PQ respectively. ∴AB=½ PQ,BC= ½QR and CA½ PR ⇒PQ=2AB,QR=2BC and PR=2CA ⇒PQ+QR+RP=2(AB+BC+CA) ⇒ PERIMETER of ΔPQR=2 (Perimeter of ΔABC)

ABC is a triangle through vertex A a line RQ is drawn parallel to side BC similarly PR and QP are the lines drawn through the vertex B and C parallel to AC and AB respectively to foam another triangle PQR. find the ratio of perimeter of Triangle ABC to that of triangle pqr

Answer»

CLEARLY, ABCQ and ARBC are parallelograms.

∴BC=AQ and BC=AR

⇒AQ=AR

⇒A is the mid-point of QR.

Similarly, B and C are the mid-points of PR and PQ respectively.

∴AB=½ PQ,BC= ½QR and CA½ PR

⇒PQ=2AB,QR=2BC and PR=2CA

⇒PQ+QR+RP=2(AB+BC+CA)

⇒ PERIMETER of ΔPQR=2 (Perimeter of ΔABC)

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ABC is a triangle through vertex A a line RQ is drawn parallel to side BC similarly PR and QP are the lines drawn through the vertex B and C parallel to AC and AB respectively to foam another triangle PQR. find the ratio of perimeter of Triangle ABC to that of triangle pqr​

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ABC is a triangle through vertex A a line RQ is drawn parallel to side BC similarly PR and QP are the lines drawn through the vertex B and C parallel to AC and AB respectively to foam another triangle PQR. find the ratio of perimeter of Triangle ABC to that of triangle pqr