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vivberry vivberry
  • 27-06-2015
  • Mathematics
Answered

if a right triangle has a hypotenuse of 12cm and one leg that measures 9cm, find the length of the other leg

Verified Answer :

naǫ
naǫ naǫ
  • 27-06-2015

Use the Pythagorean theorem:
\((leg)^2+(leg)^2=(hypotenuse)^2 \\ 9^2+x^2=12^2 \\ 81+x^2=144 \\ x^2=144-81 \\ x^2=63 \\ x=\sqrt{63} \\ x=\sqrt{9 \times 7} \\ x=3 \sqrt{7}\)



The length of the other leg is 3√7 cm.

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