10. The sides of a triangle are 35 cm, 54 cm and 61 cm, respectively and its area is 420 underroot 5 cm2. The length of it:
longest altitude is?
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⇒ s = (35 + 54 + 61)/2 = 150/2 = 75. As the area of the triangle is fixed, for the longest altitude we need smallest base. ⇒ 24√5 = Altitude.
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