Home
Class 11
MATHS
Consider a triangle PQR in which the rel...

Consider a triangle PQR in which the relation `QR^(2)+PR^(2)=5PQ^(2)` holds. Let G be the point of intersection of medians PM and QN. Then `angleQGM` is always

A

less than `45^@`

B

obtuse

C

a right angle

D

acute and larger than `45^@`

Text Solution

Verified by Experts

Promotional Banner

Similar Questions

Explore conceptually related problems

Construct a triangle PQR such that PQ=6 cm, QR=7cm and PR=4.5cm.

Construct a triangle PQR in which QR = 6cm, angleQ=60^@ and PR – PQ = 2cm.

In a triangle PQR,S and T are points on QR and PR, respectively,such that QS=3SR and PT=4TR. Let M be the point of intersection of PS and QT . Determine the ratio QM:MT using the vector method.

In a triangle PQR,S and T are points on QR and PR respectively,such that QS=3SR and PT=4TR. Let M be the point of intersection of PS and QT. Determine the ratio QM:MT

In the figure, angleQPR = anglePQR and M and N are respectively on sides QR and PR such that QM = PN. Prove that OP=OQ, where O is the point of intersection of PM and QN.

In a triangle PQR, right angled at Q. PQ=5 cm, QR=12 cm. Find the length of QM , if M is the mid point of PR .

PQR is a triangle such that PQ = PR. RS and QT are the median to the sides PQ and PR respectively. If the medians RS and QT intersect at right angle, then what is the value of "(PQ/QR)"^(2) ?