Assertion (A):If A and B are respectively the points on the sides PQ and PR of PQR such that - Maths - Triangles

Question

Assertion (A):If A and B are respectively the points on the sides
PQ and PR of ?PQR such that
PQ=12 5cm, PA=5cm, BR=6cm and PB=4cm then AB ? QR
Reason (R): If a line divides any two sides of a triangle in the
same ratio, then the line is parallel to
the third side of the triangle

Renu Singh · Accepted Answer

Dear Student, I am assuming your question is show if Reasoning (R) is sufficient to prove assertion (A) and it is Δ PQR in place of ? PQR and it is AB:QR in place of AB?QR

Hence given reasoning is correct and sufficient to prove assertion Regards

Assertion (A):If A and B are respectively the points on the sides PQ and PR of ?PQR such that PQ=12.5cm, PA=5cm, BR=6cm and PB=4cm then AB ? QR. Reason (R): If a line divides any two sides of a triangle in the same ratio, then the line is parallel to the third side of the triangle

Assertion (A):If A and B are respectively the points on the sides PQ and PR of ?PQR such that
PQ=12.5cm, PA=5cm, BR=6cm and PB=4cm then AB ? QR.
Reason (R): If a line divides any two sides of a triangle in the same ratio, then the line is parallel to
the third side of the triangle