Question

If in triangle abc if a square + a square minus b square is equal to AC then Angle B =_____ State Board 11th question

Answer 1

Answer:

according to question

In triangle ABC

AB² = AC² + BC²

comparing it with general

pythagora's theorm

hypotenuse = AB

AND WE KNOW THAT THE ANGLE OPPOSITE TO THE HYPOTENUSE IS 90° .

Hence Angle C in triangle ABC is 90° .

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Answer 2

Answer:

$\frac{\pi}{3}$

Step-by-step explanation:

In the given question $a^{2} + c^{2} - b^{2} = ac$         .........(1)

Using the cosine formula,

$cosB = \frac{a^{2} + c^{2} - b^{2} + ac}{2ac}$

using equation (1)

⇒ $cosB = \frac{ac}{2ac}$

⇒ $cosB = \frac{1}{2}$

puting cos⁻¹ on both sides

⇒ $cos^{-1}(cosB) = cos^{-1}(\frac{1}{2} )$

⇒ $B = \frac{\pi}{3}$

∴ Angle B is $\frac{\pi}{3}$

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