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In right triangle ABC, what is the length of altitude drawn from the vertex A to BC?

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In right triangle ABC, what is the length of altitude drawn from the vertex A to BC?

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In this right angled triangle ΔABC, length of the altitude drawn from vertex A is the leg AB itself. By Pythagoras theorem.

AC2 = AB2 + BC2

132 = AB2 + 122

169 = AB2 + 144

AB2 = 169 – 144 = 25

AB2 = 52

AB = 5cm

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