0 Rajan@2021Guru Asked: March 26, 20212021-03-26T11:25:03+05:30 2021-03-26T11:25:03+05:30In: ICSE A and B are respectively the points on the sides PQ and PR of a triangle PQR such that PQ=12.5 cm,PA=5 cm,BR=6 cm and PB=4 cm. Is AB∥QR? Give reasons for your answer. 0 Sorry it's a private question. Share Facebook 1 Answer Voted Oldest Recent MathsMentor Guru 2021-03-27T19:35:07+05:30Added an answer on March 27, 2021 at 7:35 pm PQ = 12.5 cm PA = 5 cm BR = 6 cm PB = 4 cm Then, QA = QP – PA = 12.5 – 5 = 7.5 cm So, PA/AQ = 5/7.5 = 50/75 = 2/3 … (i) PB/BR = 4/6 = 2/3 … (ii) Form Equations (i) and (ii). PA/AQ = PB/BR We know that, if a line divides any two sides of a triangle in the same ratio, then the line is parallel to the third side. Therefore, AB || QR. 0 Reply Share Share Share on Facebook Share on Twitter Share on LinkedIn Share on WhatsApp Leave an answerLeave an answerCancel reply Featured image Select file Browse Add a Video to describe the problem better. Video type Youtube Vimeo Dailymotion Facebook Choose from here the video type. Video ID Put Video ID here: https://www.youtube.com/watch?v=sdUUx5FdySs Ex: "sdUUx5FdySs". Click on image to update the captcha. Save my name, email, and website in this browser for the next time I comment. Related Questions Speed of a boat in still water is 15 km/h. It goes 30 km upstream and returns back ... Find the values of k for which the pair of linear equations kx + 3y = k-2 and ... . Solve for x and y: 0.4x-1.5y = 6.5, 0.3x-0.2y=0.9. Solve graphically the system of linear equations 4x-5y +16=0 and 2x+y-6 = 0. Determine the vertices of the ... If the remainder on division of x3 + 2x2 + kx +3 by x – 3 is 21, ...

PQ = 12.5 cm PA = 5 cm BR = 6 cm PB = 4 cm

Then, QA = QP – PA = 12.5 – 5 = 7.5 cm

So, PA/AQ = 5/7.5 = 50/75 = 2/3 … (i) PB/BR = 4/6 = 2/3 … (ii)

Form Equations (i) and (ii).

PA/AQ = PB/BR

We know that, if a line divides any two sides of a triangle in the same ratio, then the line is parallel to the third side.

Therefore, AB || QR.