A triangle has sides 13 cm, 14 cm and 15 cm long. What is the length of the smallest altitude of the triangle?
Answer
The correct answer is B: 11.2 cm. Area by Heron's: s=21, Area = √(21·8·7·6) = √7056 = 84. Smallest altitude corresponds to longest side (15): h = 2·84/15 = 11.2 cm.
A.11 cm
B.11.2 cm✓ Correct
C.12.2 cm
D.12 cm
Explanation
Area by Heron's: s=21, Area = √(21·8·7·6) = √7056 = 84. Smallest altitude corresponds to longest side (15): h = 2·84/15 = 11.2 cm.
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