ΔABC , AB = 8 cm and BC = 6 cm . The height AD from A to BC, is 4 cm. Find the area of ΔABC.
What will be the height from C to AB i.e., CE?
Answers
Answer:
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Answer:
Finding area of ΔABC
Using BC as base and
AD as height
Here,
Base=BC
=9cm
Height=AD
=6cm
Area of ΔABC=1/2 x Base x Height
=1/2 x BC x AD
=9 x 3
=27cm
Now we have to find EC which is height corresponding to base AB
So, finding area using EC as height and AB as base
Base = AB = 7.5 cm
Height = EC
Area of ΔABC = 1/2 x Base x Height
27 =1/2 x 7.5 x EC
27 x 2
----------. =EC
7.5
27 x 2 x 10
------------------. = EC
75
9 x 2 x 10
-------------------. = EC
25
9 x 2 x 2
--------------------. = EC
5
36/5 = EC
7.2=EC
EC = 7.2cm
therefore, Area of ΔABC is 27cmsquare
And, height CE is 7.2