Pqr is an Isosceles Triangle with Pq = Pr = 10 Cm and Qr = 12 Cm. Find the Length of the Perpendicular from P to Qr. - Mathematics

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PQR is an isosceles triangle with PQ = PR = 10 cm and QR = 12 cm. Find the length of the perpendicular from P to QR.

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Solution


Since, PQR is an isosceles triangle and PS ⊥ QR,
therefore it divides QR into two equal parts.
In ΔPSQ, ∠S = 90°
∴ PQ2 = PS2 + QS2   ....(By Pythagoras Theorem)
⇒ PS2 = PQ2 - QS2
= 102 - 62
= 100 - 36
= 64
⇒ PS = 8cm.

  Is there an error in this question or solution?
Chapter 17: Pythagoras Theorem - Exercise 17.1

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Frank Class 9 Maths ICSE
Chapter 17 Pythagoras Theorem
Exercise 17.1 | Q 25

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