if a + b equal to 2 by 3 b + c equal to 3 by 4 C+A equal to 4 by 5 find the angles of a ,b,c
Answers
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Step-by-step explanation:
the value of b.
It is given that a : b = 2 : 3 and b : c = 4 : 5. Thus, LCM of 3 and 4 is 12. Therefore, we need to multiply the first ratio by 4 and the second ratio by 3.
⇒ a : b = 4(2) : 4(3) = 8 : 12
⇒ b : c = 3(4) : 3(5) = 12 : 15
Now, as the value of b is common across the two ratios, we can combine them.
Therefore, a : b : c = 8 : 12 : 15.
Now, we shall make the value of c common.
The ratios with us are a : b : c = 8 : 12 : 15 and c : d = 6 : 7.
LCM of 15 and 6 is 30. Therefore, we need to multiply the first ratio by 2 and the second ratio by 5.
⇒ a : b : c = 2(8) : 2(12) : 2(15) = 16 : 24 : 30
⇒ c : d = 5(6) : 5(7) = 30 : 35
Now, as the value of c is common across the two ratios, we can combine them.
Therefore a : b : c : d = 16 : 24 : 30 : 35