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One side of a triangle is twice another. The third side is 8 inches and the perimeter of 26 inches. How long is each side?

2 Answers

3 votes

Side one will be x, and side two will be y.

x = 2y

x + y + 8 = 26

Subtract 8

x + y = 18

Remember that x = 2y

The only value that would make this expression true, is 6.

12 + 6 = 18

Now we can plug these values in to x + y + 8 = 26

12 + 6 + 8 = 26

That's it.



User Headshota
by
8.2k points
3 votes

Final answer:

The first side of the triangle is 6 inches, the second side is 12 inches, and the third side is 8 inches.

Step-by-step explanation:

Let's assume that the first side of the triangle is x inches. Since one side is twice another, the second side would be 2x inches. The third side is given as 8 inches.



The perimeter of a triangle is the sum of all its sides, so we can write an equation:



x + 2x + 8 = 26



Combining like terms, we get:



3x + 8 = 26



Subtracting 8 from both sides:



3x = 18



Dividing both sides by 3:



x = 6



So, the first side of the triangle is 6 inches, the second side is 2 times the first side, so 2 * 6 = 12 inches, and the third side is 8 inches.

Learn more about Triangle Sides

User Big Zak
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