Solve for X: Finding the Side Length in an Isosceles Triangle with Perimeter 50

Look at the isosceles triangle below:

5.65.65.6XXX

The perimeter of the triangle is 50.

What is the value of X?

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Step-by-step video solution

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00:00 In an isosceles triangle there is a pair of equal sides
00:03 The perimeter formula of a triangle is the sum of its sides
00:09 Insert the known data into the formula
00:16 Move terms to the other side
00:24 Divide by 2 to isolate the unknown
00:31 That's the solution

Step-by-step written solution

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1

Understand the problem

Look at the isosceles triangle below:

5.65.65.6XXX

The perimeter of the triangle is 50.

What is the value of X?

2

Step-by-step solution

Since we know the triangle is isosceles, the other side will also be equal to X

Now we can replace the data to calculate X.

The perimeter of the triangle is equal to:

x+x+5.6=50 x+x+5.6=50

2x=505.6 2x=50-5.6

2x=44.4 2x=44.4

We divide both sides by 2:

2x2=44.42 \frac{2x}{2}=\frac{44.4}{2}

x=22.2 x=22.2

3

Final Answer

22.2

Practice Quiz

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

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