Maharashtra State BoardSSC (English Medium) 7th Standard

In the Right-angled ∆Pqr, ∠ P = 90°. If L(Pq) = 24 Cm And L(Pr) = 10 Cm, Find the Length of Seg Qr. - Mathematics

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Sum

In the right-angled ∆PQR, ∠ P = 90°. If l(PQ) = 24 cm and l(PR) = 10 cm, find the length of seg QR.

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Solution

In the right-angled triangle PQR, ∠P = 90°. Hence, side QR is the hypotenuse.
According to Pythagoras' theorem,
l(QR)2 = l(PQ)2 + l(PR)2
⇒ l(QR)2 = (24)2 + (10)2
⇒ l(QR)2 = 576 + 100
⇒ l(QR)2 = 676
⇒ l(QR)2 = (26)2
⇒ l(QR) = 26
∴ Length of seg QR = 26 cm.

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Chapter 13: Pythagoras’ Theorem - Practice Set 48 [Page 90]

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Balbharati Mathematics 7th Standard Maharashtra State Board
Chapter 13 Pythagoras’ Theorem
Practice Set 48 | Q 2 | Page 90

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