Question

plz tell me how to construct this .
it is of class 10

Answer 1

n each of the following, give the justification of the construction also:

1. Draw a line segment of length 7.6 cm and divide it in the ratio 5: 8. Measure the two parts.

Ans. Given: A line segment of length 7.6 cm.

To construct: To divide it in the ration 5: 8 and to measure the two parts.

Steps of construction:



(a) From any ray AX, making an acute angle with AB.

(b) Locate 13 (=5 + 8) points on AX such that.

(c) Join.

(d) Through the point, draw a line parallel to intersecting AB at the point C.

Then, AC: CB = 5: 8

On measurement, AC = 3.1 cm, CB = 4.5 cm

Justification:

[By construction]



[By Basic Proportionality Theorem]

But  [By construction]

Therefore, 


AC: CB = 5: 8