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Answered

The sides of the triangle are in the ratio 1:3:4 The perimeter of the triangle is 24 cm
a.Find the length of the longest side
b.how much longer is the longest side from the shortest side?​

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AnataGaDaisukiigo

Answer:

a. The longest side is 12cm

b. 9cm longer

Step-by-step explanation:

Divide 12 by the sum of the values in the ratio.

[tex]1 + 3 + 4 = 8 \\ 24 \div 8 = 3[/tex]

Distribute 3 to the values in the ratio.

[tex]1(3) = 3 \\ 3(3) = 9 \\ 4(3) = 12[/tex]

Checking:

[tex]3 + 9 + 12 = 24[/tex]

Correct.

For a.

The longest side is 12

For b.

The longest side is 12 and the shortest is 3. Their difference is 3.

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