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Question content area top Part 1 The lengths of the sides of a triangle are in the extended ratio 5 ​: 6 ​: 9. The perimeter of the triangle is 100 cm. What are the lengths of the​ sides?



Answer :

Dinofish32

Answer: 25 cm, 30 cm, and 45 cm

Step-by-step explanation:

If the sides of a triangle are 5:6:9, then the side lengths are 5x, 6x, and 9x respectively. By finding the perimeter of this general form, we can solve for x, then the individual sides.

Perimeter

[tex]P = 5x + 6x + 9x\\100 = 20x\\x = 5[/tex]

Since x = 5, we can multiply this by the ratio to get the individual lines.

Lengths Calculation

[tex]5(5) = 25\\6(5) = 30\\9(5) = 45\\[/tex]

The lengths of the sides are 25 cm, 30 cm, and 45 cm.

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