Question
Download Solution PDF△XYZ में, XO माध्यिका है और XO = \(\frac{1}{2}\) YZ है, यदि ∠YXO = 30° है, तो ∠XYZ का मान क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया:
△XYZ में , XO माध्यिका है और XO = \(\frac{1}{2}\) YZ है
∠YXO = 30°
गणना:
प्रश्न के अनुसार,
∆ XOY में,
चूंकि XO माध्यिका है, इसलिए
⇒ YO = OZ
⇒ और XO = \(\frac{1}{2}\) YZ के रूप में, फिर
⇒ XO = YO = OZ
∆ XYO में,
⇒ XO = OY
इसलिए, त्रिभुज XYO एक समद्विबाहु त्रिभुज है
⇒ इसलिए, ∠YXO = ∠XYO = 30°
⇒ और ∠XYO = ∠XYZ
⇒ इसलिए, ∠XYZ = 30°
⇒ इसलिए, अभीष्ट मान 30° है।
Last updated on Jun 13, 2025
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