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tylerbowser431
tylerbowser431 tylerbowser431
  • 20-01-2017
  • Mathematics
Answered

The legs of a right triangle are 4 units and 7 units. What is the length of the hypotenuse?

Verified Answer :

Anonymous Anonymous
  • 20-01-2017

Pythagoras theorem:
hypotenuse²=leg₁²+leg₂²

Data:
leg₁=4 u
leg₂=7 u

Therefore: 
hypotenuse²=(4 u)²+(7 u)²
hypotenuse²=16 u²+49 u²
hypotenuse²=65 u²
hypotenuse=√(65 u²)≈8.06 u

Answer: the length of the hypotenuse is 8.06 u

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