Q7 of 168 Page 4

In Fig. 4.60, AD bisects , AB = 12 cm, AC = 20 cm and BD = 5 cm, determine CD.

AD bisects ∠A

∴ AB/AC=BD/CD


12/20=5/CD


CD =100/12


CD=8.33 cm


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5

D, E and F are the points on sides BC, CA and AB respectively of such that AD bisects , BE bisects and CF bisects . If AB = 5 cm, BC = 8 cm and CA = 4 cm, determine AF, CE and BD.

 6

In Fig. 4.60, check whether AD is the bisector of of in each of the following:

(i) AB = 5 cm, AC = 10 cm, BD = 1.5 cm and CD = 3.5 cm


(ii) AB = 4 cm, AC = 6 cm, BD = 1.6 cm and CD = 2.4 cm


(iii) AB = 8 cm, AC = 24 cm, BD = 6 cm and BC = 24 cm


(iv) AB = 6 cm, AC = 8 cm, BD = 1.5 cm and CD = 2 cm


(v) AB = 5 cm, AC = 12 cm, BD = 2.5 cm and BC = 9 cm



 1

(i) In fig. 4.70, if , find the value of x.

 1

In Fig. 4.71, if , find the value of x.