Question

In ABC, angle BAC=angle BCA=45, angle ABC=90,then write the value of AB​

Answer 1

Answer:

180-45-90==45

Step-by-step explanation:

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Answer 2

Given:

In triangle ABC , angle BAC = angle BCA=45 and angle ABC= 90

To Find:

Value of side AB

Step-by-step explanation:

• As one of the angles is 90 degrees, it's Right angle triangle during which the opposite two angles are equal. Since ∠BCA=∠BAC

       So,  AB = BC  

• In a triangle, if opposite angles are equal then opposite sides of a triangle are also equal.
• By applying the Pythagoras theorem square of the hypotenuse side is adequate to the sum of squares of the other two sides of triangle

        $AC^2=AB^2+BC^2$

        $AC^2=AB^2+AB^2$       [AB is Equal to BC]

        $AC^2=2AB^2$

        $AC=\sqrt{2} AB\\\\\AB=\frac{1}{\sqrt{2} } AC$

• So, the length of side AB is $\frac{1}{\sqrt{2} }$ of side AC