Find the length of the hypotenuse of a right angled triangle if remaining sides are 9 cm and 12 cm. - Geometry Mathematics 2

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Sum

Find the length of the hypotenuse of a right angled triangle if remaining sides are 9 cm and 12 cm.

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Solution

Let ∆PQR be the given right-angled triangle.

In ∆PQR, ∠Q = 90°

∴ PR2 = PQ2 + QR2 .......[Pythagoras theorem]

= 92 + 12

= 81 + 144

= 225

∴ PR = `sqrt(225)` .....[Taking the square root of both sides]

= 15 cm 

∴ The length of the hypotenuse of the right-angled triangle is 15 cm.

  Is there an error in this question or solution?
Chapter 2: Pythagoras Theorem - Problem Set 2 [Page 44]

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Balbharati Mathematics 2 Geometry 10th Standard SSC Maharashtra State Board
Chapter 2 Pythagoras Theorem
Problem Set 2 | Q 2.4 | Page 44

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