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CBSE Class 9 Answered

Find the area of an equilateral triangle ABC with side 8 cm. Also find the length of the altitude AD.
Asked by Topperlearning User | 31 Mar, 2014, 12:08: PM
answered-by-expert Expert Answer

equals square root of 12 left parenthesis 12 minus 8 right parenthesis left parenthesis 12 minus 8 right parenthesis left parenthesis 12 minus 8 right parenthesis end root
equals square root of 12 cross times 4 cross times 4 cross times 4 end root
equals 16 square root of 3 space c m squared

A l t i t u d e space A D space equals space square root of 8 squared minus 4 squared end root equals square root of 64 minus 16 end root equals square root of 48 equals 4 square root of 3 c m




Answered by | 31 Mar, 2014, 02:08: PM
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