Question

The question is on the image. ​

Answer 1

Answer:

PR = 7.99 cm (2 dp)

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)

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