Flag Trigonometry> if A=45,B=75, then a+c √2 is equal to, a)...
question mark

if A=45,B=75, then a+c√2 is equal to,
a)2b
b)3b
c)√2 b
d)b

Nishtha Gahlot , 8 Years ago
Grade 12
anser 3 Answers
Nishant Vora

Last Activity: 8 Years ago

To solve the equation a + c√2 given that A = 45 and B = 75, we first need to clarify what a and c represent in the context of this problem. We'll assume that A and B can be related to a and c in some way, possibly through the given options, and we’ll explore how to express a and c in terms of A and B.

Identifying Variables

Let's start by defining a and c based on the values provided:

  • A = 45
  • B = 75

We can explore the options given:

  • a) 2b
  • b) 3b
  • c) √2 b
  • d) b

Expressing a and c

To find a + c√2, we need to determine the relationship between the variables.

Assuming we want to express a in terms of B, we can say:

  • a = kB, where k is a constant we need to determine.

Now, if we substitute B with 75, we have:

  • a = k * 75

Finding c

Next, we need to express c. Since c might also relate to A, we can express c similarly:

  • c = mA, where m is another constant.

Substituting A = 45 gives us:

  • c = m * 45

Combining the Expressions

Now we substitute a and c back into the expression a + c√2:

  • a + c√2 = (k * 75) + (m * 45)√2

Evaluating Options

Now we can evaluate the options provided. Each option needs to be tested against our expression:

  • a) 2b: This means 2 * 75 = 150.
  • b) 3b: This equals 3 * 75 = 225.
  • c) √2 b: This means √2 * 75.
  • d) b: This is simply 75.

From here, we can see that by substituting different values for k and m, we can find a combination that satisfies a + c√2 = one of the options. However, without specific values for k and m, we cannot definitively conclude which option is correct. If we assume k = 2 and m = 1, we can see:

  • a + c√2 = 150 + 45√2.

This indicates that the expression could potentially fall within a range of the provided options, yet we would need numerical values for k and m to identify the exact match. Thus, the answer could vary based on the constants chosen.

Final Thoughts

To summarize, without additional details about how a and c are defined in relation to A and B, it is challenging to determine a definitive answer. However, by exploring the combinations and relationships, we can narrow down possible values for a + c√2 and match it with the options given. If you have any further details or constraints, we can refine this solution even more!

Nickey Romeo

Last Activity: 7 Years ago

a/sinA = b/sinB = c/sinC = k
a= k/root2
b= root3k/2
a+ root2 b = k(1+root3)/root2 -----(eq 1)
 
b/sinB =k
b= sin 75 * k
k= 2root b/(root3+1)
 
Substitute value of k in equation 1)
 
a + root c = 2b

Renushree Wakode

Last Activity: 4 Years ago

a/sin45 = b/sin75 = c/sin60 = k
 
a=k/√2.      b=ksin(45+30).         c=k√3/2
                    b=k(√3+1)/2√2
                i.e 2b=k(√3+1)/√2.  ------ (1)
a+c√2 = k/√2 + k√3.√2/2
            =k(1+√3)/√2
            =2b.            (from 1)    

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