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CBSE Class 8 Answered

The sides of the triangle is 7cm 24cm and 25cm.find the length of perpendicular from the opposite vertex to the side whose length is 25cm.       Ans - 6.72 cm
Asked by Mohdayaz9921 | 13 Jan, 2019, 12:12: AM
answered-by-expert Expert Answer
Area of the triangle = begin mathsize 12px style square root of s open parentheses s minus a close parentheses open parentheses s minus b close parentheses left parenthesis s minus c right parenthesis end root space space space end style,
where s = semi-perimeter = (a+b+c)/2  and a,b and c are sides of triangle
 
Area of triangle = begin mathsize 12px style square root of 28 cross times 21 cross times 4 cross times 3 end root space equals space 84 space s q. c m end style
if we take 25 cm side as base of triangle, altitude drawn from the vertex opposite to 25 cm is h,
 
then we have (1/2)×25×h = 84 ..............(1)
 
from eqn.(1), we get h = 6.72 cm
Answered by Thiyagarajan K | 13 Jan, 2019, 11:06: PM
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