Question

The perimeter of a scalene triangle is 14.5cm. The longest side is twice that of the shortest side. Which equation can be used to find the side lengths if the longest side measures 6.2cm

Answer 1

To find the side lengths of the scalene triangle, we can use the equation x + 2x + (length of the third side) = 14.5.

Step-by-step explanation:

To find the side lengths of the scalene triangle, we can set up an equation using the information given. Let x represent the shortest side. The longest side is twice that, so it is 2x. The perimeter of the triangle is 14.5cm, which means the sum of all three sides is 14.5cm.

So, we have the equation: x + 2x + (length of the third side) = 14.5

Since we know that the longest side measures 6.2cm, we can substitute 2x with 6.2cm: x + 6.2 + (length of the third side) = 14.5

From here, we can solve for x and find the length of the third side.

Answer 2

See basic equations.

Step-by-step explanation:

Let x = the shortest side

Let 2x = the longest side.

Let y = the medium sized side.

Basic Equation

y + x + 2x = 14.5

or

y + 3x = 14.5

Comment

This almost looks like it needs more information because you are not entirely certain what you are looking for. You have not asked for a complete solution. About all you can do is solve for x and y and see if you really do have a triangle.

y + x + 2x + 14.5

2x = 6.2 Given. Divide by 2

x = 6.2/2 = 3.1

x + 2x + y = 14.5 Substitute values

3.1 + 6.2 + y = 14.5 Combine like terms

9.3 + y = 14.6 Subtract 9.3 from both sides

y = 14.6 - 9.3 Combine

y = 5.3

Yes you do have a triangle. any 2 sides is larger than the 3rd.

I don't know what to put as the answer however.