the base of an isisceles triangle is 12 cm and its perimeter is 32 cm. find its area
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Step-by-step explanation:
first side 12
second side 12
Answered by
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Step-by-step explanation:
Hello mate
Here is your answer
Let the two equal sides be 2x
Then perimeter of the given triangle = 12+2x.
But, Perimeter of the given triangle = 32 cm.(Given)
So, 12+2x = 32
=> 2x = 32-12
=> x = 20/2
=> x = 10 cm
Now By using Hero's formula
We have - s = 1/2( perimeter of the triangle) [Let the sides be a, b, c]
So, s= 1/2 *32 cm
= 16
Now, Area =√s(s-a) (s-b) (s-c)
= {√16(16-10)(16-10)(16-12)}cm^2
= (√16*6*6*4)cm^2
=(√2*2*2*2*3*2*3*2*2*2)cm^2
=(√2*2*2*2*2*2*2*2*3*3)cm^2
=(√2*2*2*2*2*2*2*2*3*3)cm^2
=(4*4*4*4*9)cm^2
=(64*36) cm^2
=2304 cm^2
Hope it helps
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