The side of a triangle are 7 centimetre 25 cm and 24 cm find the length of perpendicular from the opposite vertex of the side whose length is 25 CM
Answers
Let the sides of the triangle be a,b,c where
a = 7cm
b = 25cm
c = 24cm
Semi perimeter (s)= a+b+c/2
=7+25+24/2
=56/2
=28cm
By Heron's Formula,
Area of triangle=√s(s-a)(s-b)(s-c)
=√28(28-7)(28-25)(28-24)
=√28*21*3*4
=√2*2*7*3*7*3*2*2
=2*2*3*7
=84cm square
Now,area of triangle=1/2*base*height ( perpendicular=height)
84=1/2*25*height
84*2=25*height
164/25=height
32.8/5=height
328/50=height
65.6/10=height
Height=6.56cm
Thus,the length of the perpendicular from the opposite vertex of side whose length is 25cm is 6.56cm.
Answer:
6.72cm is the answer of this question