Triangle Side Lengths: Solve for X When 2X + 3X + 3.5X = 17

Look at the following triangle:

2X2X2X3.5X3.5X3.5X3X3X3X

The perimeter of the triangle is 17.

What is the value of X?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Determine X
00:03 The perimeter is equal to the sum of the triangle's sides
00:09 Substitute the appropriate values into the formula and solve
00:16 Isolate X
00:25 Here is the solution

Step-by-step written solution

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1

Understand the problem

Look at the following triangle:

2X2X2X3.5X3.5X3.5X3X3X3X

The perimeter of the triangle is 17.

What is the value of X?

2

Step-by-step solution

We know that the perimeter of a triangle is equal to the sum of all sides together, so we replace the data:

3x+2x+3.5x=17 3x+2x+3.5x=17

8.5x=17 8.5x=17

Divide the two sections by 8.5:

8.5x8.5=178.5 \frac{8.5x}{8.5}=\frac{17}{8.5}

x=2 x=2

3

Final Answer

2

Practice Quiz

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In a right triangle, the side opposite the right angle is called....?

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