Question

If (s-a)=5cm, (s-b)=10cm, (s-c)=1cm then find a, b, c

Answer 1

the correctanswer is

Answer 2

If (s - a) = 5 cm, (s - b) = 10 cm, (s - c) = 1 cm then a is 11 cm and b is 6 cm and c is 15 cm

Solution:

Given that,

$s - a = 5\ cm\\\\s - b = 10\ cm\\\\s - c = 1\ cm$

"s" is the semi perimeter of triangle

$s = \frac{a+b+c}{2}\\\\a + b+ c = 2s ----- eqn\ 1$

To find: a , b, c

$Add\ all\\\\s - a + s - b + s - c = 5 + 10 + 1\\\\Simplify\\\\3s - a - b - c = 16\\\\3s - (a + b + c) = 16\\\\Substitute\ eqn\ 1\\\\3s - 2s = 16\\\\s = 16$

Therefore,

$s - a = 5\\\\16 - a = 5\\\\a = 16 - 5\\\\a =11$

Also,

$s - b = 10\\\\16 - b = 10\\\\b = 16 - 10\\\\b = 6$

Also,

$s - c = 1\\\\16 - c = 1\\\\c = 16 - 1\\\\c = 15$

Thus a is 11 cm and b is 6 cm and c is 15 cm

Learn more about this topic

If(s-a) =5cm (s-b)=10cm (s-c)=1cm . Find s

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If (s-a) =5cm

(s-b) =10cm

(s-a) =1cm. Find a, b, c

Where a, b, c are side of the triangle.

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