Traingle based question!!
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Answers
Hey mate here is your answer
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90 will be largest side..
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Let the sides are a, b, c and corresponding altitudes are 12, 15 , 20 units
so area of triangle with base a= area of triangle with base b =area of triangle with base c
1/2×base (a)×corresponding heights=1/2×base (b)×corresponding heights=1/2×base (c)×corresponding heights
1/2×12a= 1/2×15b = 1/2×20 c
12a= 15b = 20c
divide by 60
a/5= b/4= c/3
Now let a/5= b/4= c/3= k
a = 5k , b = 4k , c = 3k
so sides are 5k,4k,3k
now we know that side opposite to greater angle is greater so angle opposite to 5k will be greater then using cosine formula
cos A= b²+c²−a²/2bc
cosA = 16k²+9k²−25k²/24k= 0
A = 90 degree
so largest angle is 90 degree
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