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gizmo_the_mogwai [7]
2 years ago
11

Need an answer asap please show work

Mathematics
1 answer:
lina2011 [118]2 years ago
5 0

Answer:

Refer to the picture above

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The lengths of the sides of a triangle are in the extended ratio 4:7:10. The perimeter of the triangle is 105 cm. What are the l
AlekseyPX
<h3>Answer:   20 cm, 35 cm, and 50 cm</h3>

=========================================================

Explanation:

The sides are in the ratio 4:7:10

This scales up to 4x:7x:10x showing that the sides are 4x, 7x and 10x. The variable x is some positive real number.

Add up the sides and set this equal to the given perimeter 105. Solve for x.

4x+7x+10x = 105

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x = 105/21

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This value is then plugged into each side

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  • 7x = 7*5 = 35
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The triangle has sides of 20 cm, 35 cm, and 50 cm.

Note how the ratio 20:35:50 reduces to 4:7:10 after dividing all three parts by the GCF 5. Also, we can see that 20+35+50 = 105 to fully confirm our answer.

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2 years ago
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