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2 years ago

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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?

2 answers:

4vir4ik [10]2 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]2 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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Step-by-step explanation:

<u><em>The question in English is</em></u>

A rectangular window is l meters wide and h meters high, with a perimeter of 6 meters and an area of 2m². What is the formula for calculating the width of the window?

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Which means :

$=\tt 6 = \frac{x}{9}$

$=\tt \frac{6}{1} = \frac{x}{9}$

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Let us check whether or not we have found out the correct value of x by placing 54 in the place of x :

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