Question

Find the value of xxx in the isosceles triangle shown below.

Answer 1

Answer:

$x=10\ units$

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

$(\sqrt{74})^2 =7^2+(\frac{x}{2})^2$

solve for x

$74 =49+\frac{x^2}{4}$

$\frac{x^2}{4}=74-49$

$\frac{x^2}{4}=25$

$x^2=100\\x=10\ units$