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The question is
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The question is on the image. ​-example-1
User TobyS
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1 Answer

13 votes

Answer:

PR = 7.99 cm (2 dp)

Explanation:

Pythagoras' Theorem: a² + b² = c²

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

From inspection of the triangle:

  • a = PR
  • b = PQ = 12.1 cm
  • c = RQ = 14.5 cm

Substituting the given values into the formula;:

⇒ a² + b² = c²

⇒ PR² + 12.1² = 14.5²

⇒ PR² + 146.41 = 210.25

⇒ PR² = 210.25 - 146.41

⇒ PR² = 63.84

⇒ PR = ±√(63.84)

⇒ PR = ±7.99 (2 dp)

As distance is positive, PR = 7.99 cm (2 dp) only

User Telokis
by
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