construct a triangle of the ratio length 3:4:5 its perimeter is 12cm. solve it
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Let, the multiple of ratio be x.
Perimeter of triangle = 12cm
3x + 4x + 5x = 12cm
12x = 12cm
x = 12cm/12
x = 1cm
length of 1st side = 3x
= 3 × 1cm
= 3cm
length of 2nd side = 4x
= 4 × 1cm
= 4cm
length of 3rd side = 5x
= 5 × 1cm
= 5cm
Answered by
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Given ,
Ratio = 3:4:5:
sum of the ratio's = 3+4+5= 12
Now using a formula
perimeter/ sum of the ratio's
= 12 / 12
= 1 cm
So,
The measure of the three sides are ;
3 (1)=3cm
4 (1)=4cm
5 (1)=5cm
Verification:
perimeter of a triangle = sum of all sides
= 3+4+5
= 12 cm
Hence verified..
Hope this is useful
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