The perimeter of triangle field is 450m and its sides are in ratio 13 : 12 :15 find the area
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☆Solution☆
Given =》
Perimeter = 450m
Sides are in ratio 12:13:15
Answer:-
Area = 150√6
Need to Find =》
Area=?
Explanation =》
Let first be 12x
Second be 13x
Third be 15x
Semi perimeter = 450/2 = 225m
we know that,
Perimeter of a triangle= Sum of all Sides
450= 12x+13x+15x
450= 30x
450/30=x
x= 15m
Hence, Sides are :-
12x= 12×15= 195m
13x= 13×15= 180m
15x=15×15= 225m
By Using Heron's Formula
Area of triangle =》 √[s( s-a)(s-b)(s-c)
√225(225−195)(225−180)(225−225)
★Area of triangle is 150√6★
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