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ICSE Class 9 Answered

The sides of a triangle are  15 cm ,20cm and 25cm . Find The Altitude To its longest Side. please ans fast 
Asked by vishwadiprathod0070.9sdatl | 17 Jun, 2020, 08:32: PM
answered-by-expert Expert Answer
Let's first find the area of the triangle and then find the altitude using the formula for area of a triangle.
Semi-perimeter of triangle = (15+20+25)/2 = 30 cm
square root of straight s open parentheses straight s minus straight a close parentheses open parentheses straight s minus straight b close parentheses open parentheses straight s minus straight c close parentheses end root equals square root of 30 open parentheses 30 minus 15 close parentheses open parentheses 30 minus 20 close parentheses open parentheses 30 minus 25 close parentheses end root equals square root of 30 cross times 15 cross times 10 cross times 5 end root equals square root of 15 cross times 2 cross times 15 cross times 2 cross times 5 cross times 5 end root equals 15 cross times 2 cross times 5 equals 150 space cm squared Area space of space triangle space equals space 150 space cm squared Area space of space triangle space equals space 1 half cross times Base cross times height 150 equals 1 half cross times 25 cross times height Height equals 12 space cm Hence comma space the space altitude space equals space 12 space cm
Answered by Renu Varma | 18 Jun, 2020, 10:28: AM

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