Isosceles triangle is the triangle in which two sides of the triangle are congruent.The altitude from the top of an isosceles triangle bisects the base into two equal parts. The value of side FC is 12.
Given-
In triangle ADE side AE and the side DE are congruent.
The other side AD is the base of the triangle.
The triangle ADE is the isosceles triangle. For the isosceles triangle we know that the two sides are equal. In triangle ADE side AE and the side DE are congruent. the other side AD is the base of the triangle. The altitude form the top of an isosceles triangle bisects the base into two equal parts. thus the value of CD and AC is equal. Thus,
[tex]AC=CD[/tex]
In the question the value of CD is twelve units. Thus,
[tex]AC=12[/tex]
Hence the side AC is 12 units.
Now in triangle ABC side AB and the side BC are congruent.
The other side AC is the base of the triangle. The altitude form the top of an triangle ABC bisects the base AC into two equal. FC are 1/2 of the side AC. therefore,
[tex]FC=\dfrac{AC}{2}[/tex]
[tex]FC=\dfrac{12}{2}[/tex]
[tex]FC=6[/tex]
Hence, the value of side FC is 12 units.
For more about the triangle follow the link below-
https://brainly.com/question/25813512
