G-35
Midpoint Theorem
2. In the given triangle ABC, P, Q and R are the midpoints
of BC, CA and AB respectively. Given that BP = 3.5 cm,
AC = 3.8 cm and PQ = 2.7 cm, find the values of
(a) RQ, (b) RP, (c) AR, (d) AB.
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Step-by-step explanation:
(a). BC = 2BP = 2(3.5) = 7 cm ⇒ RQ = (1/2)BC = 3.5 cm
(b). RP = AC ÷ 2 = 3.8 ÷ 2 = 1.9 cm
(c). AR = AB ÷ 2 = PQ = 2.7 cm
(d). AB = 2PQ = 5.4 cm
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