Find sides of triangle whose sides are in the ratio 2:5:4 and it's Perimeter is 66 cm.
Answers
Answered by
21
Given :
A triangle with sides in the ratio 2:5:4 with perimeter 66cm.
To find :
We have to find the measures of sides of the mentioned triangle.
Solution :
Let the unknown constant be x.
Perimeter of a triangle = Sum of all sides of a triangle
==> 2x + 5x + 4x = 66cm
==> 11x = 66cm
==> x = 66/11
==> x = 6
Therefore, 2x = 2(6) = 12cm
5x = 5(6) = 30cm
4x = 4(6) = 24cm
Verification :
Perimeter of a triangle = Sum of all the sides of a triangle
==> 12cm + 30cm + 24cm
==> 66cm
Hence, verified !
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Answered by
2
Step-by-step explanation:
let ,sides are in ratio - 2x + 5x + 4x
perimeter =66
66=2x+5x+4x
66=11x
66/11=x
6=x
now, 2×6=12
5×6=30
4×6=24
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