Question

In a triangle ABC , BC=7 cm, AE=6 cm and BD=3 cm.Find the area of the triangle ABC and the length of AC.​

Answer 1

Answer:

area of triangle ABC =1/2BC *AE

=1/2 *7cm * 6cm

= 21 cm .........(1)

Again, area of triangle ABC = 1/2* AC * BD

=1/2 * AC * 3cm.....(2)

Form equations (1) and (2)

21cm = 1/2 * AC * 3cm

21cm *2/3 = AC

7cm * 2 = AC

14 = AC

Hence proved area of triangle ABC is 21cm and length of AC is 14.