The sides of a triangle are in the ratio 2 : 3 : 4, if the perimeter of the triangle is 13. 5 cm. find its side.
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Step-by-step explanation:
perimeter =2x+3x+4x= 13.5
9x=13.5
x = 13.5 /9= (27/2 )/9 = 27 /2 * 1/9
= 3/2
so, sides are 3, 9/2=4.5, 6
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Answer:
Question:- Find sides of a triangle whose perimeter is 13.5cm and sides are in the ratio of 2:3:4
Solution:-
We know Perimeter of a triangle= sum of all sides
Let the sides be x
Here it'll be
2x+3x+4x=13.5
9x=13.5
x=13.5/9
x=1.5
Therefore the sides are
2x=2×1.5=3 cm
3x=3×1.5=4.5 cm
4x=4×1.5=6 cm
Let's check whether it's correct or not
2x+3x+4x=13.5
3+4.5+6=13.5
13.5=13.5
L.H.S = R.H.S
hence verified
Hope it helps
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