Question

ΔPQR~ΔLTR. In ΔPQR, PQ = 4.2 cm,QR =5.4cm,PR=4.8cm. Construct ΔPQR and ΔLTR, such that PQ/LT=3/4

Answer 1

Answer:

ΔPQR & ΔLTR constructed

Step-by-step explanation:

First we will construct ΔPQR

Step 1 : Draw a line PQ = 4.2 cm

Step 2 : Using compass from point P draw an Arc with radius = 4.8 cm

Step 3 : Using compass from point Q draw an Arc with radius = 5.4 cm

cutting 1st arc Drawn

Step 4 : Join the intersection point of Arcs R with P & Q

ΔPQR is constructed

now ΔPQR~ΔLTR

=> PQ/LT = QR/TR = PR/LR  = 3/4

=> LT = 4PQ/3 = 5.6 cm

&  TR = 7.2 cm

LR = 6.4 cm

Using these dimension

Now Extend RP till Length = 6.4 cm = RL = LR

& Extend RQ till legnth  = 7.2 cm = RT = TR

& Join LT

ΔLTR is constructed