Question

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Answer 1

Q = 12 units

Explanation:

• Given is a right angled triangle and Q is the measure of one of its legs.
• Other leg = 5 units
• Hypotenuse = 13 units

• By Pythagoras Theorem:

• 
  `Q^2 + 5^2 = 13^2`

• 
  `Q^2 + 25 = 169`

• 
  `Q^2 = 169-25`

• 
  `Q^2 = 144`

• 
  `Q = \pm√(144)`

• 
  `Q = \pm 12`

• Q can not be negative

• 
  `\implies Q = 12\:units`

Answer 2

Q = 12 units

Explanation:

Pythagoras’ Theorem

a² + b² = c²

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

Given:

• a = 5 units
• b = Q
• c = 13 units

Substitute given values into the formula and solve for Q:

⇒ a² + b² = c²

⇒ 5² + Q² = 13²

⇒ 25 + Q² = 169

⇒ Q² = 169 - 25

⇒ Q² = 144

⇒ Q = √144

⇒ Q = 12 units