Answer:
Step-by-step explanation:
By triangle theorem for similarity we have
AC||DE if and only if
the ratios
Option I:
Here we find the ratios are equal to 1/2
Hence parallel
OPtion 2:
Here we get both ratios equal to 2/3 Hence parallel
Option 3:
Here we get I ratio =2/5 and II ratio =4/7
Since the two are not equal we get not parallel
For this case we have that by definition, the area of a triangle is given by:
Where:
b: It is the base of the triangle
h: It is the height of the triangle
According to the statement data we have:
Substituting we have:
We divide between 2 on both sides:
We factor by looking for two numbers that, when multiplied, are obtained -88 and when added together, +3 is obtained.
These numbers are +11 and -8.
We have two roots:
We choose the positive value.
Thus, the base of the triangle is:
Answer:
The base of the triangle is 22 units.