Math, asked by factsloverboy, 10 months ago

Traingle based question!!

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Answered by Anonymous
6

Hey mate here is your answer

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90 will be largest side..

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Answered by rishabh8670
1

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

Hope you have got it

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