Two sides of a triangle have the same length. The third side measures 4 meters less than twice the common length . The perimeter of the triangle is 16 meters. What are the lengths of the three sides?

correcto albreto

Let's call the length of the two sides with equal length "x".

According to the problem, the third side measures 4 meters less than twice the common length, so its length can be expressed as 2x - 4.
We are also given that the perimeter of the triangle is 16 meters.

Using these information, we can write the equation for the perimeter:

x + x + (2x - 4) = 16

Now, let's solve for x:

4x - 4 = 16
4x = 20
x = 5

Now that we have the value of x, we can find the lengths of the three sides:

The first two sides have equal length, so they each have a length of 5 meters.
The third side is 4 meters less than twice the common length, so its length is 2x - 4. Substituting x = 5, we get:
2(5) - 4 = 10 - 4 = 6

Therefore, the lengths of the three sides of the triangle are: 5 meters, 5 meters, and 6 meters.

To find the lengths of the three sides of the triangle, we can set up equations based on the given information.

Let's assume the length of the two equal sides is represented by 'x'.

According to the problem, the third side measures 4 meters less than twice the common length. So, the length of the third side is 2x - 4.

The perimeter of a triangle is the sum of all its sides. In this case, the perimeter is given as 16 meters. Therefore, we can write the equation:

x + x + (2x - 4) = 16

Simplifying the equation:

4x - 4 = 16

Adding 4 to both sides:

4x = 20

Dividing by 4:

x = 5

Now that we know the length of one side (x), we can find the lengths of the other two sides:

The length of the two equal sides is 5 meters each.

The third side's length is 2x - 4 = 2(5) - 4 = 10 - 4 = 6 meters.

So, the lengths of the three sides are: 5 meters, 5 meters, and 6 meters.

a-lenght of two sides of triangle

c- lenght of third side of triangle

c=2a-4

Perimeter:
P=a+a+c= 2a+(2a-4)= 2a+2a-4= = 4a-4
=4(a-1)

P=16
4(a-1)=16 Divided with 4
a-1= 16/4
a-1= 4
a=4+1= 5

a=5 meters

c=2a-4 = 2*5-4 = 10-4= 6

c=6 meters

Perimeter=a+a+c=5+5+6=10+6= 16 meters