Q.1: Find the area of a triangle whose two sides are 18 cm and 10 cm and the perimeter is 42cm.
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Answer:
21√11
Step-by-step explanation:
let the third side be "x"
perimeter = sum of all sides
42 = 18 + 10 + x
42 - 28 = x
x = 14
so sides of triangle are 18,14,10
a = 18
b = 14
c = 10
s = 42/2 = 21
area = √s(s-a)(s-b)(s-c)
=> √21(21-18)(21-14)(21-10)
=> √21*3*7*11
=> √3*7*3*7*11
=> 3*7√11
=> 21√11
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