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

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प्रश्न

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

योग

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

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बालभारती Geometry (Mathematics 2) [English] 9 Standard Maharashtra State Board
अध्याय 5 Quadrilaterals
Problem Set 5 | Q 2 | पृष्ठ ७४
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