The lengths of the sides of a triangle are in the ratio 3:4:5. Find the area of the triangle if its perimeter is 144 cm.
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Answered by
2
Hey friend here is your answer..
let the side 3x, 4x and 5x be Perimeter of the triangle = sum of all sides
144 = 3x + 4x +5x
144 = 12x
x = 12 cm
1st side be 3 * 12 = 36 cm
2nd side be 4 * 12 = 48cm
3rd side be 5 * 12 = 60 cm
s = 36 + 48 + 60/2
= 89
and done by the formula = √ s (- a) (s-b) ( s-c)
hope u can understand....
let the side 3x, 4x and 5x be Perimeter of the triangle = sum of all sides
144 = 3x + 4x +5x
144 = 12x
x = 12 cm
1st side be 3 * 12 = 36 cm
2nd side be 4 * 12 = 48cm
3rd side be 5 * 12 = 60 cm
s = 36 + 48 + 60/2
= 89
and done by the formula = √ s (- a) (s-b) ( s-c)
hope u can understand....
winterunderthewillow:
Thank you! However, the answer given in my book is a little different than yours.
Answered by
1
the sides of a square=3:4:5.
3x+4x+5x=144
3x+4x+5x=144
12x=144
x=144by12
x=1by1
therefore-------3x=3*1=3
4x=4*1=4
5x=5*1=5
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