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Question

The sides of a triangle are 𝟑𝟓 𝒄𝒎, 𝟓𝟒 𝒄𝒎 and 𝟔𝟏 𝒄𝒎, respectively. The length of its longest altitude is:

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Solution

Given: a =35 cm, b = 54 cm, c = 61 cm

Step 1: Find the semi-perimeter.

s = (35+54+61)2 = 75 cm.

Step 2: Use Heron’s formula to calculate its area.


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