The side of a triangle plot are in the ratio 3 ratio 5 ratio 4 and the perimeter is 48 0 m find its area
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Answered by
34
To Find :
- we need to find the side of triangle .
Given :
- Ratio of sides of triangle = 3 : 5 : 4
- perimeter of triangle = 480
Let the sides of triangle be 3x , 5x and 4x
✫Perimeter of triangle = sum of all sides.
➔ 3x + 5x + 4x = 480
➔ 12x = 480
➔ x = 480/12
➔ x = 40
Hence,
- Sides of triangle are :-
⇛ 3x
= 3 × 40
= 120 m
⇛ 5x
= 5 × 40
= 200m
⇛ 4x
= 4 × 40
= 160m
Hence,
All sides of triangle = 120m, 200m and 160m
Verification :
perimeter of triangle = 480
⟶ 120 + 200 + 160 = 480
⟶ 320 + 160 = 480
⟶ 480 = 480
LHS = RHS
Hence, Verified.
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