A triangle having sides a,b and c If s-a=4cm, s-b=8cm and s-c=12cm, then find the value of a,b and - Maths - Heron\s Formula

Question

A triangle having sides a,b and c If s-a=4cm, s-b=8cm and s-c=12cm,
then find the value of a,b and c

Rashi Lokwani · Accepted Answer

Dear Student,

s - a = 4 cm                        
(1)s - b = 8 cm                        
(2)s - c = 12 cm                        
(3)We know s = a+b+c2⇒a+b+c = 2s                        
(4)Adding (1), (2) and (3):3s - a - b - c = 243s - (a+b+c) = 24From (4):3s - 2s = 24s = 24 cmSubstitute s = 24 cm in (1) :s - a = 424 - a = 4 a = 24 - 4a = 20 cmSubstitute s = 24 cm in (2) :s - b = 824 - b = 8b = 24 - 8b = 16 cmSubstitute s = 24 cm in (3) :s - c = 1224 - c = 12c = 24 - 12c = 12 cm

Regards

A triangle having sides a,b and c. If s-a=4cm, s-b=8cm and s-c=12cm, then find the value of a,b and c.