Respuesta :

semsee45

Answer:

Q = 12 units

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)

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

Hrishii

Answer:

Q = 12 units

Step-by-step 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:

  • [tex] Q^2 + 5^2 = 13^2[/tex]

  • [tex] Q^2 + 25 = 169[/tex]

  • [tex] Q^2 = 169-25[/tex]

  • [tex] Q^2 = 144[/tex]

  • [tex] Q = \pm\sqrt{144}[/tex]

  • [tex] Q = \pm 12[/tex]

  • Q can not be negative

  • [tex] \implies Q = 12\:units[/tex]

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