Question

find AD if the area of the ABC is 28cm2 and the side BC= 7cm
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Answer 1

Answer:

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Answer 2

Step-by-step explanation:

Given

AD is the median of △ABC and E is the midpoint of AD

Through D

draw DG∥BF

In △ADG

E is the midpoint ofAD and EF∥DG

By converse of midpoint theorem we have

F is midpoint of AG and AF=FG  ..............1

Similarly, in △BCF

D is the midpoint of BC and DG∥BF

G is midpoint of CF and FG=GC ..............2

From equations 1 and 2

we will get

AF=FG=GC ........3

AF+FG+GC=AC

AF+AF+AF=AC (from eu 3)

3AF=AC

AF=31AC

∴AF=31×15=5cm

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