Question

The length of BC = 12 cm, AD
3 cm, CE = 4 cm. Find the
length of side AB.
​

Answer 1

Answer:

the length of AB is 9cm

Step-by-step explanation:

if we take bc as base then ,

area of triangle =

$\frac{1}{2} \times base \times height$

$\frac{1}{2} \times bc \times ad$

$\frac{1}{2} \times 12 \times 3$

$18cm {}^{2}$

now, if the base was AB then

area =

$\frac{1}{2} \times ab \times ce$

we already now the area of triangle abc.

$\frac{1}{2} \times ab \times 4 = 18$

$ab = \frac{18 \times 2}{4}$

$ab = 9cm$

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