Question

if 3A = 5B = 6C, then find abc​

Answer 1

Step-by-step explanation:

let 3a = 5b = 6c =k

then a= k/3 , b= k/5. , c = k/6

since a+b+c=180°

k/3 + k/5 +k/6 =180°

21k/30 =180°

k=5400/21

ABC =

$k {}^{3} \div 90$

abc =20/7

Answer 2

A:B:C is 10:6:5.

Step-by-step explanation:

Given information:

3A = 5B = 6C

Consider we need to find the ratio A:B:C.

Coefficients of A,B and C are 3, 5 and 6 respectively.

$LCM(3,5,6)=30$

Divide the given equation by 30.

$\dfrac{3A}{30}=\dfrac{5B}{30}=\dfrac{6C}{30}$

Cancel out common factors.

$\dfrac{A}{10}=\dfrac{B}{6}=\dfrac{C}{5}$

Therefore, the ratio A:B:C is 10:6:5.

#Learn more

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