In triangle $ABC$ the lengths of sides $BC = a = 7$ cm and $AC = b = 9$ cm are given. The altitude from vertex $C$ to side $AB$ is $5$ cm. Determine (i) the length of side $c$ (in cm) and (ii) the measure of angle $C$ (in degrees, to the nearest degree).

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Accepted Answer

c \approx 2.54 cm; angle C \approx 12°

Neco Model Questions Vol1 2022 Mathematics Question 48

In triangle \(ABC\) the lengths of sides \(BC = a = 7\) cm and \(AC = b = 9\) cm are given. The altitude from vertex \(C\) to side \(AB\) is \(5\) cm. Determine (i) the length of side \(c\) (in cm) and (ii) the measure of angle \(C\) (in degrees, to the nearest degree).

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Neco Model Questions Vol1 2022 Mathematics Question 48

In triangle \(ABC\) the lengths of sides \(BC = a = 7\) cm and \(AC = b = 9\) cm are given. The altitude from vertex \(C\) to side \(AB\) is \(5\) cm. Determine (i) the length of side \(c\) (in cm) and (ii) the measure of angle \(C\) (in degrees, to the nearest degree).

Answer Options

About This Question

Master the Exam!

In triangle \(ABC\) the lengths of sides \(BC = a = 7\) cm and \(AC = b = 9\) cm are given. The altitude from vertex \(C\) to side \(AB\) is \(5\) cm. Determine (i) the length of side \(c\) (in cm) and (ii) the measure of angle \(C\) (in degrees, to the nearest degree).