Question

Given A+B=C and that C is perpendicular to A.Futher of A=C then what is angle between A&B

Pls Pls help me tomorrow is my exam​

Answer 1

Solution :

In this Question We have Provided with the Sum of A and B is equal to C and the C is Perpendicular to A . Moreover , A is equal to C and We need to find the angle between A and B .

Provided Data :

A + B = C

C ⊥ A ( 90°)

A = C

To Find :

Angle between A and B

Finding the angle between A and B

Let , Vector A be P

Vector B be  Q

Vector C be R

⇒ Vector A + Vector B = C

⇒ C ⊥ A

⇒ A = C

(Implies , B Should be equal to 0 )

Angle between C and A is a right angle triangle and also both have equal magnitude

Implies , 45° is the angle between A and B

Therefore , for the above Question required angle between A and B is equal to 45°

Answer 2

• A + B = C

• C $\perp$ A

• A = C

_________________ [ GIVEN ]

• We have to find the angle between A and B.

______________________________

In question.. A, B and C only three sides is given. Means the questioner is saying about triangle.

So, ABC is traingle. Also, said in question A + B = C _____ (eq 1)

Means C is hypotenuse and A and B are base and perpendicular respectively.

Also, given C $\perp$ A and A = C

Put A = C in (eq 1)

=> (C) + B = C

=> C + B = C

Now.. two sides are equal.

It is property of Isoceles triangle. (Because in Isoceles triangle two sides are equal

And in ∆ABC;

A and C are equal to each other. And the angle in Isoceles triangle is 45° and in Equitorial traingle is 60°.

So, the angle between A and B is 45°.

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