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Find the length diagonal of a rectangle whose length is 35 cm and breadth is 12 cm. - Geometry Mathematics 2

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प्रश्न

Find the length diagonal of a rectangle whose length is 35 cm and breadth is 12 cm.

योग
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उत्तर

`square`ABCD is a rectangle
`l(AB) = 35 cm`
`l(BC) = 12 cm`

Let AC be the diagonal of rectangle

as  ∠A =  ∠B = ∠C =  ∠D = 90°

∴ In `triangle`ABC, as  ∠B = 90°

∴ By using Pythagoras theorem.

`AC^2 = AB^2 + BC^2`
`AC^2 = 35^2 + 12^2`
`AC^2 = 1225 + 144`
`AC^2 =1369`
`AC =37cm`

∴ The diagonal of the rectangle is 37 cm.

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अध्याय 2: Pythagoras Theorem - Practice Set 2.1 [पृष्ठ ३९]

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बालभारती Mathematics 2 [English] Standard 10 Maharashtra State Board
अध्याय 2 Pythagoras Theorem
Practice Set 2.1 | Q 8 | पृष्ठ ३९

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