Question

tell me the answer please​

Answer 1

Step-by-step explanation:

Republic Day is a national holiday in India. It honours the date on which the Constitution of India came into effect on 26 January 1950 replacing the Government of India Act as the governing document of India and thus, turning the nation into a newly formed republic.

Answer 2

SOLUTION

EVALUATION

Here it is given that ∠ ABC = 90°

Also AB = BC

We know from Pythagorean Theorem that

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides

∴ (AB)² + (BC)² = (AC)²

⟹ 2(AB)² = 8

⟹ (AB)² = 4

⟹ AB = 2

∴ AB = BC = 2 unit

Let ∠ BAC = θ

$\displaystyle \sf{ \sin \theta = \frac{2}{ \sqrt{8} } }$

$\displaystyle \sf{ \implies \sin \theta = \frac{2}{2 \sqrt{2} } }$

$\displaystyle \sf{ \implies \sin \theta = \frac{1}{ \sqrt{2} } }$

$\displaystyle \sf{ \implies \theta = {45}^{ \circ} }$

∴ ∠ BAC = 45°

∴ AB = BC = (1/√2) × AC

= (1/√2) × √8

= (1/√2) × 2√2

= 2

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