The perimeter of a triangle is 14.4 cm and the ratio of length of its side is 2:3:4 construct the triangle
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sum of ratio terms = 2+3+4 = 9
1st side = 14.4×2/9 =3.2
2nd side = 14.4×1/3 = 4.8
3rd side = 14.4×4/9 = 6.4
1st side = 14.4×2/9 =3.2
2nd side = 14.4×1/3 = 4.8
3rd side = 14.4×4/9 = 6.4
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Answer:
Step-by-step explanation:
Let the sides be a, b and c.
Now :
a : b : c = 2 : 3 : 4
a + b + c = 2 + 3 + 4 = 9 (sum of the ratios)
a + b + c = 14.4 cm
a = 2/9 × 14.4 = 3.2 cm
b = 3/9 × 14.4 = 4.8 cm
c = 4/9 × 14.4 = 6.4 cm
We will therefore construct a triangle of sides :
3.2cm, 4.8cm and 6.4 cm
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