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Answer:

a) 5 m

b) 8 m

Step-by-step explanation:

Pythagoras' Theorem: a² + b² = c²

where a and b are the legs and c is the hypotenuse of a right triangle

a) Given:

  • a = 3 m
  • b = 4 m

⇒ 3² + 4² = c²

⇒ 9 + 16 = c²

⇒ 25 = c²

⇒ c = √(25)

⇒ c = 5 m

b) Given:

  • a = 6 m
  • c = 10 m

⇒ 6² + b² = 10²

⇒ 36 + b² = 100

⇒ b² = 100 - 36

⇒ b² = 64

⇒ b = √(64)

⇒ b = 8 m

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