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Ek tribhuj ABC mein angle bi barabar 90 Hai yadi a bi barabar do aur AC barabar 3 sentimeter Hai tab sign a ka man gyat kijiye?
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Ek tribhuj ABC mein angle bi barabar 90 Hai yadi a bi barabar do aur A...
Samanya Sankalpana
Ek tribhuj ABC mein, angle B 90° hai, jo ki ek right angled triangle hai. Hamare paas AB (a) ki lambai 2 cm aur AC (c) ki lambai 3 cm hai. Humein sin A ka maan gyat karna hai.
Tribhuj ke Guna
Pythagorean theorem ke anusar,
\[ c^2 = a^2 + b^2 \]
yahan,
- \( AC = c = 3 \, \text{cm} \)
- \( AB = a = 2 \, \text{cm} \)
Iska istemal karke, b ki lambai gyat karte hain:
\[ 3^2 = 2^2 + b^2 \]
\[ 9 = 4 + b^2 \]
\[ b^2 = 9 - 4 \]
\[ b^2 = 5 \]
\[ b = \sqrt{5} \, \text{cm} \]
Sin A ka Maan
Sin A ko gyat karne ke liye, hum sin ke paribhasha ka istemal karte hain:
\[ \text{sin A} = \frac{\text{opposite}}{\text{hypotenuse}} \]
yahan,
- opposite side (BC) = b = \(\sqrt{5}\) cm
- hypotenuse (AC) = c = 3 cm
Toh,
\[ \text{sin A} = \frac{\sqrt{5}}{3} \]
Antim Uplabdhi
Yadi ham is pariman ko asan roop se vyakt karein, toh:
- \( \text{sin A} \approx 0.745 \)
Is prakar, sin A ka maan \( \frac{\sqrt{5}}{3} \) ya 0.745 hai.
Ek tribhuj ABC mein, angle B 90° hai, jo ki ek right angled triangle hai. Hamare paas AB (a) ki lambai 2 cm aur AC (c) ki lambai 3 cm hai. Humein sin A ka maan gyat karna hai.
Tribhuj ke Guna
Pythagorean theorem ke anusar,
\[ c^2 = a^2 + b^2 \]
yahan,
- \( AC = c = 3 \, \text{cm} \)
- \( AB = a = 2 \, \text{cm} \)
Iska istemal karke, b ki lambai gyat karte hain:
\[ 3^2 = 2^2 + b^2 \]
\[ 9 = 4 + b^2 \]
\[ b^2 = 9 - 4 \]
\[ b^2 = 5 \]
\[ b = \sqrt{5} \, \text{cm} \]
Sin A ka Maan
Sin A ko gyat karne ke liye, hum sin ke paribhasha ka istemal karte hain:
\[ \text{sin A} = \frac{\text{opposite}}{\text{hypotenuse}} \]
yahan,
- opposite side (BC) = b = \(\sqrt{5}\) cm
- hypotenuse (AC) = c = 3 cm
Toh,
\[ \text{sin A} = \frac{\sqrt{5}}{3} \]
Antim Uplabdhi
Yadi ham is pariman ko asan roop se vyakt karein, toh:
- \( \text{sin A} \approx 0.745 \)
Is prakar, sin A ka maan \( \frac{\sqrt{5}}{3} \) ya 0.745 hai.
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Ek tribhuj ABC mein angle bi barabar 90 Hai yadi a bi barabar do aur AC barabar 3 sentimeter Hai tab sign a ka man gyat kijiye?
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Ek tribhuj ABC mein angle bi barabar 90 Hai yadi a bi barabar do aur AC barabar 3 sentimeter Hai tab sign a ka man gyat kijiye? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Ek tribhuj ABC mein angle bi barabar 90 Hai yadi a bi barabar do aur AC barabar 3 sentimeter Hai tab sign a ka man gyat kijiye? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ek tribhuj ABC mein angle bi barabar 90 Hai yadi a bi barabar do aur AC barabar 3 sentimeter Hai tab sign a ka man gyat kijiye?.
Ek tribhuj ABC mein angle bi barabar 90 Hai yadi a bi barabar do aur AC barabar 3 sentimeter Hai tab sign a ka man gyat kijiye? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Ek tribhuj ABC mein angle bi barabar 90 Hai yadi a bi barabar do aur AC barabar 3 sentimeter Hai tab sign a ka man gyat kijiye? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ek tribhuj ABC mein angle bi barabar 90 Hai yadi a bi barabar do aur AC barabar 3 sentimeter Hai tab sign a ka man gyat kijiye?.
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