The lengths of the sides of a triangle are 57 cm, 95 cm, and 76 cm. What is the length of the shortest altitude of this triangle?

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A 45.6 cm
B 36.8 cm
C 60.8 cm
D 52.4 cm

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Answer: A. 45.6 cm

Answer: A) 45.6 cm
Explanation: The shortest altitude is the one drawn to the longest side (95 cm).
57 : 76 : 95 = 3 : 4 : 5, so the triangle is right-angled and Area = 1/2 × 57 × 76 = 2166 cm².
Altitude to 95 cm = 2 × 2166 ÷ 95 = 45.6 cm.

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The lengths of the sides of a triangle are 57 cm, 95 cm, and 76 cm. What is the length of the shortest altitude of this triangle?

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