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In triangle abc b-a =30 c-b …

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In triangle abc b-a =30 c-b =45

Find all the angles 

  • 3 answers

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

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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