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महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता ९ वी

Adjacent sides of a rectangle are 7 cm and 24 cm. Find the length of its diagonal.

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प्रश्न

Adjacent sides of a rectangle are 7 cm and 24 cm. Find the length of its diagonal.

बेरीज
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उत्तर

Let `square`ABCD be the rectangle.

AB = 7 cm, BC = 24 cm

In ∆ABC,

∠B = 90°           ...[Angle of a rectangle]

From Pythagoras theorem,

AC2 = AB2 + BC2

AC2 = 72 + 242

AC2 = 49 + 576

∴ AC2 = 625

∴ AC = `sqrt(625)`

∴ AC = 25 cm

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पाठ 5: Quadrilaterals - Problem Set 5 [पृष्ठ ७४]

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बालभारती Mathematics 2 [English] Standard 9 Maharashtra State Board
पाठ 5 Quadrilaterals
Problem Set 5 | Q 2 | पृष्ठ ७४

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