aryasuneeth7
aryasuneeth7 aryasuneeth7
  • 30-06-2020
  • Mathematics
contestada

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.

Respuesta :

SvetkaChem
SvetkaChem SvetkaChem
  • 30-06-2020

Answer:

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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