Math, asked by abhay6122, 11 months ago

please solve this problem?

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Answered by adarsh4924
1
hope it will help you
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abhay6122: thx
Answered by Anonymous
1

\huge\boxed{Answer}

दिए गए चित्र से ,

∆ABC एक समकोण त्रिभुज है ।‌‌

जिसमें D , भुजा BC का मध्य-बिंदू है ।

अतः BD = CD , तथा BC = BD + DC = 2BD

अब , समकोण त्रिभुज ABC में ,

AB² = BC² + AC²

AB² = (2BD)² + AC²

AB² = 4BD² + AC² -------(1)

अब , समकोण त्रिभुज ADC में ,

AD² = AC² + CD²

AD² = AC² + BD²

BD² = AD² - AC² -----(2)

समी.(1) एवं (2) से -

AB² = (4AD² - 4AC²) + AC²

AB² = 4AD² - 3AC²

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