the area of a triangle is given by √s(s-a)(s-b)(s-c). if a=15cm,b=8cm,c=17cm and s=20cm,find the area of the triangle.
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Answer:
Step-by-step explanation:
area of a triangle= √S(S-A)(S-B)(S-C).
Here,
A, B and C are the sides of triangle.
S denotes the semi perimeter of triangle. Semi perimeter(S)= perimeter of triangle/2
Given,
A=15 cm
B=8 cm
C=17 cm
S=20 cm
Area = √20(20-15)(20-8)(20-17)
= √20*5*12*3
= √2*2*5*5*2*2*3*3
= 2*5*2*3
= 10*6
=60 cm
Area of triangle is 60 cm
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