question_answer

Draw a line segment of length 8 cm and divide it internally in the ratio \[4:5\].

Answer:

Steps of construction-

(i) Draw \[AB=8\text{ }cm\]

(ii) Draw any ray AX making an acute angle with AB

(iii) Draw \[9(4+5)\] points on ray AX namely \[{{A}_{1}},{{A}_{2}},{{A}_{3}},{{A}_{4}},{{A}_{5}},{{A}_{6}},{{A}_{7}},{{A}_{8}},{{A}_{9}}\] at equal distance.

(iv) Join \[B{{A}_{9}}\]

(v) Through point \[{{A}_{4}}\] draw a line parallel to \[{{A}_{9}}B\] intersecting AB at the point C

Then \[AC:CB=4:5\]