Question

∆ ABC~∆LBN. In ∆ABC, AB=5.1, angle B=40°, BC=4.8 cm. construct ∆ABC and ∆LBN such that AC/LN=4/7.​

Answer 1

Answer:

Step-by-step explanation:

Construct AB = 5.1cm

Measure 40degree angle and draw a rayDB from B

Measure 4.8cm on compass and draw an arc with B as the centre cutting the rayDB at C

Join AC

Extend the line BC from B with measure above 10cm till J

Extend Line AB from B with measure above 10cm till I

Divide the line AB and BC into 4 equal parts and name the divisions as A1, A2, A3, A4 in line segment AB and the divisions in BC as C1, C2, C3, C4 respectively.

Measure any one part of A1A2 in compass and draw arcs in ray BI without changing the measurements drawing the arc with point where preceding arc cut the ray as the centre and name them as I1, I2, I3 and so on

Measure any one part of C1C2 in compass and draw arcs in ray BJ without changing the measurements drawing the arc with point where preceding arc cut the ray as the centre and name them as J1, J2, J3 and so on

Join J7 and I7

Rename J7 as N and I7 as L

∆ABC and ∆LBN are the required triangles