Q1. In a triangle the sides are given as
11 cm , 12 cm and 13 cm. Prove that
the length of the altitude is 7.25 cm
corresponding to the side having
length of 12cm
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ANSWER
Sides of triangle are 11,12,13
Area of triangle = s(s−a)(s−b)(s−c)
s= a+b+c/2
s=11+12+13/2
s=18
Area of triangle =18(7)(6)(5)
Area of triangle =18(7)(6)(5)=61.5
Area of triangle = 1/2 (base)(altitude)
61.5 = 1/2 ×12×(altitude)
Altitude = 10.25
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