Hushar Mulga
@Rohit
Spread the love

Chapter 4 – Geometric Construction – Text Book Solution

Practice Set 4.1 | Q 2 | Page 96

∆PQR ~ ∆LTR. In ∆PQR, PQ = 4.2 cm, QR = 5.4 cm, PR = 4.8 cm. Construct ∆PQR and ∆LTR, such that `”PQ”/”LT” = 3/4`

Solution:-

Steps of construction:

  1. Draw a triangle PQR, with PQ = 4.2 cm, QR = 5.4 cm and PR = 4.8 cm, choosing QR = 5.4 cm as base.
Gemetric Construction D PQR ~ D LTR. In D PQR, PQ = 4.2 step 1

2)Below QR, draw an acute angle ∠QRX

D PQR ~ D LTR. In D PQR, PQ = 4.2 cm, QR =

3 Mark four points R1, R2, R3 and R4 on RX, such that RR1 = R1R2 = R2R3 = R3R4. [As ratio is 4:3, we choose 4 points]

D PQR ~ D LTR. In D PQR, PQ = 4.2 cm, QR =

4 Join QR4 and Draw TR3 || QR4

D PQR ~ D LTR. In D PQR, PQ = 4.2 cm, QR =

5 Draw LT || PQ.

D PQR ~ D LTR. In D PQR, PQ = 4.2 cm, QR =

Chapter 4 – Geometric Construction – Text Book Solution

Practice set 4.1 |Q 1 | P 96

Click Here to see All the Textbook solution of Geometric Construction