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17 June, 15:27

In a right triangle PQR,∠Q=90

a) If PQ = 8cm, QR = 15 cm, find PR.

b) If PR = 10cm, PQ = 8 cm, find QR.

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  1. 17 June, 15:44
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    a) PR = 17 cm, b) QR = 6 cm

    Step-by-step explanation:

    ∠Q=90, so PQ and QR are legs, and PR is hypotenuse.

    Pythagorean theorem PQ² + QR² = PR²

    a) PQ² + QR² = PR²

    8² + 15² = PR²

    PR² = 289

    PR = 17 cm

    b) PQ² + QR² = PR²

    8² + QR² = 10²

    64 + QR² = 100

    QR² = 36

    QR = 6 cm
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