In triangle abc b-a =30 c-b …
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Posted by [email protected] Natvarlal 6 years, 8 months ago
- 3 answers
Rashmi Bajpayee 6 years, 8 months ago
In a triangle, we know that a + b + c = 180 ...............(i)
Given: b - a = 30 => b = a + 30 ..............(ii)
Also, c - b = 45 => b = c - 45 ..............(iii)
Putting value of b from eq.(ii), in eq.(i), we get
a + a + 30 + c = 180
=> 2a + c = 150 ...............(iv)
Again putting the value of b from eq.(iii), in eq.(i), we get
a + c - 45 + c = 180
=> a + 2c = 225 ................(v)
On solving eq.(iv) and eq.(v), we get
a = 25 and c = 100
Then, b = 30 + a = 30 + 25 = 55
Therefore, a = 25, b = 55, c = 100
Hans Raj 6 years, 8 months ago
b - a = 30 a = b - 30 ....... i
c - b =45 c = b + 45 ..........ii
a + b + c = 180.....iii
substitute i and ii in iii
b - 30 + b + b + 45 = 180
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Hans Raj 6 years, 8 months ago
please continue from above
3b = 180 - 15 = 165 b = 55
a = 55 - 30 = 25
c = 55 + 45 = 100
therefore a = 25 , b = 55 , c = 100
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