Construct a triangle $P Q R$ , given that $P Q = 5.6 cm, PR = 7 cm$ and $Q R = 4.5 cm$

Open in App

Solution

(i) Draw a line segment that is sufficiently long using a ruler.

(ii) Locate points $P$ and $Q$ on it such that $P Q = 5.6 cm$ .

(iii) With P as centre and radius $7 cm$ , draw an arc(see figure)

(iv) With Q as centre and radius $4.5 cm$ , draw another arc cutting the previous arc at $R$ .

(v) Join $P R$ and $Q R$

Then $P Q R$ is the required triangle

Suggest Corrections

Similar questions

Q. Construct a triangle

P Q R

in which

Q R = 7 c m, ∠ Q = 75^{o}

and

P Q + P R = 13 c m

Q. Construct

△ P Q R

with

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

and

P R = 8 c m

Q. (a) Construct

Δ P Q R

, given

¯ ¯¯¯¯¯¯ ¯ P Q = 3.5 c m, ¯ ¯¯¯¯¯¯ ¯ P R = 4.5 c m

, and

¯ ¯¯¯¯¯¯¯ ¯ Q R = 5.5 c m

(b) Construct ΔPQR, when PQ = 4 cm, QR = 6 cm and ∠PQR = 60

^{\circ}

. [4 MARKS]

Construct a right angled triangle PQR, in which $∠ Q = 90^{o}$ ,hypotenuse PR=8 cm and QR=4.5 cm. Draw bisector of angle PQR and let it meet PR at point T. Prove that T is equidistant from PQ and QR.

Q. Construct a right-angled triangle

P Q R

in which

Q R = 4.5 c m

and hypotenuse

P R = 6 c m

Join BYJU'S Learning Program

Construct a triangle PQR, given that PQ=5.6 cm, PR = 7 cm and QR=4.5 cm

Construct a triangle $P Q R$ , given that $P Q = 5.6 cm, PR = 7 cm$ and $Q R = 4.5 cm$