In an isosceles triangle, the length of each leg exceeds twice the base by 2cm. perimeter is 24. how long is each leg?

Each leg 10 units in length.

Step-by-step explanation:

Since this is an isosceles triangle, both sides are equal which means we can set up a system of equations for this, l will symbolize the legs and b will symbolize the base.

2l+b=24  This equation means that the length of 2 legs and the base will add up to 24.

l=2b+2 This equation means that the length of one leg added to 2 is equal to twice the base.

Now, solve the system, I will use substitution.

Next, substitute the 2nd equation into the first to solve for b.

2(2b+2)+b=24, Solve for b:

4b+4+b=24

5b= 20

b=4, This means that the length of the base is 4, now solve for the length of each leg using either of the equations by plugging in the value of b.

l=2(4)+2

l=10, The length of each leg is 10

side side side

side angle angle

angle side angle

side angle side

step-by-step explanation: