MAH-CET 2025 — Mathematics PYQ

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Question

MAH-CET 2025 — Mathematics PYQ

MAH-CET | Mathematics | 2025

In a triangle ABC, 𝐴=60°,𝐵=45° 𝑎𝑛𝑑 𝑠𝑖𝑑𝑒 𝑎=10 caluclate the length of side b using the Law of Sines.

Choose the correct answer:

Explanation

Solving Steps:

1. Law of Sines Formula:

\frac{a}{\sin A} = \frac{b}{\sin B}

2. Side $b$ ke liye rearrange karna:

b = \frac{a \cdot \sin B}{\sin A}

3. Values put karna:

Humein pata hai: $a = 10$ , $A = 60^\circ$ , aur $B = 45^\circ$ .

b = \frac{10 \cdot \sin 45^\circ}{\sin 60^\circ}

Standard values ka upyog karte hue ( $\sin 45^\circ = 0.707$ aur $\sin 60^\circ = 0.866$ ):

b = \frac{10 \cdot 0.707}{0.866}

b = \frac{7.07}{0.866}

4. Final Calculation:

Ise divide karne par:

b \approx 8.1639

Rounding off karne par (one decimal place tak):

b \approx 8.2

Choose the correct answer:

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