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Art [367]
3 years ago
13

An isosceles triangle has two sides of equal length. The third side is five less than twice the length of one of the other sides

. If the perimeter of the triangle is 23 cm what is the length of the third side?
Mathematics
2 answers:
4vir4ik [10]3 years ago
5 0

Answer:

9

Step-by-step explanation:

We can set up a systems of equations to find the value of the third side.

Let's assume that x is the length of both sides 1 and 2. Let's also assume that y is the length of the third side.

We know that x + x + y = 23, and looking at the first clue we can make the equation y = 2x-5.

We can substitute y into the equation x + x + y = 23.

x + x + (2x-5) = 23\\\\2x + 2x-5 = 23\\4x-5 = 23\\4x = 28\\x = 7

So the length of the side that is the same as the second is 7.

Now we can plug this into the equation y = 2x-5 to find y.

y = 2(7) - 5\\\\y = 14-5\\\\y = 9

Hope this helped!

maria [59]3 years ago
3 0

Answer:

9 cm

Step-by-step explanation:

Let's say that the length of the 2 equal sides is x.

That means:

Side 1 = x

Side 2 = x

We know that the third side is 5 less than twice the length of the 2 equal sides, or 2x-5

Side 3 = 2x-5

The perimeter is all sides together.

Side 1 + Side 2 + Side 3

We know the length of each side, so let's put that in instead.

x + x + 2x-5

Let's simplify this expression:

x + x + 2x - 5

2x + 2x - 5

4x - 5

We know the perimeter, 4x-5, is 23 cm.

4x - 5 = 23

4x = 28

x = 7

The third side is 2x-5. If x is 7...

2*7 - 5 = 14-5 = 9

Answer: 9 cm

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