How to construct a triangle wirh PQ=8cm, QR=2cm and RP=4cm

Open in App

Solution

First check if triangle inequality law holds.
That is sum of 2 sides of triangle must be greater than the 3 side.

To check if
PQ + QR > RP
QR + RP > PQ
PQ + RP > QR

QR + RP = 2cm + 4cm = 6cm
QR + RP > PQ
6 > 8 FALSE

No such triangle is possible.

Suggest Corrections

Similar questions

△ P Q R

P Q = 4 c m, Q R = 7 c m

P R = 8 c m

Construct a triangle PQR in which PQ = 4 cm, QR = 4.5 cm and ∠Q = 60°.

Construct a triangle $P Q R$ in which $Q R = 6$ cm, $∠ Q = 60^{\circ}$ and $P R - P Q = 2 c m$ .

P Q R

P Q = 7 c m, Q R = 3 c m, R P = 4 c m

Construct a $Δ$ PQRwith QR = 8 cm, PQ = 6 cm, PR = 4 cm. Construct the incircle of the triangle and find the radius of the incircle.

Join BYJU'S Learning Program