draw a triangle whose two sides are 5cm ansd 8cm in length and the measurements of the angle opposite of length 8cm is 60°
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The length of the sides of a triangle are 5 cm, 12 cm and 13 cm. Find the length of perpendicular from the opposite vertex to the side whose length is 13 cm.
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Here,
a=5,b=12,c=13
s=21(a+b+c)=15
Area of the triangle, A = s(s−a)(s−b)(s−c)
A=15(15−5)(15−12)(15−13)
A=30 cm2
Let p be the length of perpendicular. Then,
A=21×13×p
Therefore,
21×13×p=30
p=1360 cm
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