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![In [m]\triangle[/m] ABC , Point, P, Q, R are midpoints . If AB = 10, A](/forum/styles/gmatclub_light/imageset/icon_post_target_unread.svg "In [m]\triangle[/m] ABC , Point, P, Q, R are midpoints . If AB = 10, A"){kind=icon}
11 Oct 2019, 01:01
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In \(\triangle\) ABC , Point, P, Q, R are midpoints . If AB = 10, AC = 15 and BC = 17, what is the perimeter of the \(\triangle\) PQR?
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20 Oct 2019, 23:45
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Consider triangle ABC and triangle APR.. since P,Q, and R are mid points PR||BC
Angle ABC = Angle APR
Angle ARP= Angle ARB
Angle A is common in both the triangles, therefore both the triangles are similar.
And sides are in the ratio of 1:2
So, PR = 0.5 OF BC
SIMILARLY PQ= 0.5 of AC, RQ= 0.5 OF AB
therefore 5+7.5+8.5= 21
A
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Angle ABC = Angle APR
Angle ARP= Angle ARB
Angle A is common in both the triangles, therefore both the triangles are similar.
And sides are in the ratio of 1:2
So, PR = 0.5 OF BC
SIMILARLY PQ= 0.5 of AC, RQ= 0.5 OF AB
therefore 5+7.5+8.5= 21
A
Posted from my mobile device
31 Jul 2025, 03:59
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