Answer:
[tex]x=10\ units[/tex]
Step-by-step explanation:
The picture of the question in the attached figure
we know that
The height of an isosceles triangle divide the triangle into two congruent right triangles.
so
Applying the Pythagorean Theorem
[tex](\sqrt{74})^2 =7^2+(\frac{x}{2})^2[/tex]
solve for x
[tex]74 =49+\frac{x^2}{4}[/tex]
[tex]\frac{x^2}{4}=74-49[/tex]
[tex]\frac{x^2}{4}=25[/tex]
[tex]x^2=100\\x=10\ units[/tex]
