Answer:
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
