Answer:
(a) Reason: angle in a semi circle is 90°
(b) PR = 19.2 cm
Step-by-step explanation:
(a) From the diagram.
∠PQR is 90° because point P,Q and R forms a semi circle, and angle in a semi circle is equal to 90°
(b) Applying
Pythagoras theorem,
a² = b²+c²................. Equation 1
From the diagram,
Where a = PR, b = RQ, c = QP.
Given: RQ = 9 cm, QP = 17 cm
Substitute these values into equation 1
(PR)² = 9²+17²
(PR)² = 81+289
(PR)² = 370
PR = √370
PR = 19.2 cm
