the perimeter of a triangular field is 135 cm and its sides are in the ratio 25 : 17 : 12 find its area
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Answered by
199
Perimeter=135cm
Let the ratio be. 25x,17x,12x
25x+17x+12x=135
54x=135
x=135/54
x=2.5
Putting the value 12x=12×2.5=30
17x=17×2.5=42.5
25x=25×2.5=62.5
Sides of triangle are 30 cm,42.5cm,62.5cm
Area of triangle=1/2bh
=1/2×62.5×42.5
=2656.25/2
=1328.125
Let the ratio be. 25x,17x,12x
25x+17x+12x=135
54x=135
x=135/54
x=2.5
Putting the value 12x=12×2.5=30
17x=17×2.5=42.5
25x=25×2.5=62.5
Sides of triangle are 30 cm,42.5cm,62.5cm
Area of triangle=1/2bh
=1/2×62.5×42.5
=2656.25/2
=1328.125
Answered by
53
Answer:
Step-by-step explanation:
Perimeter=135cm
Let the ratio be. 25x,17x,12x
25x+17x+12x=135
54x=135
x=135/54
x=2.5
Putting the value 12x=12×2.5=30
17x=17×2.5=42.5
25x=25×2.5=62.5
Sides of triangle are 30 cm,42.5cm,62.5cm
Area of triangle=1/2bh
=1/2×62.5×42.5
=2656.25/2
=1328.125
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