Answer:
x = √40 = 2√10
Explanation:
The given triangle is an isosceles triangle. This means that the angle bisector is perpendicular to the base and bisects it, which means that we now have two identical right-angled triangles.
Let's consider the triangle on the right:
We have one of its sides = 6 units, the other one = 4/2 = 2 units and the hypotenuse = x units
We will use the Pythagorean theorem to get the length of the hypotenuse as follows:
(Hypotenuse)² = (side1)² + (side2)²
x² = (6)² + (2)²
x² = 36 + 4
x² = 40
either x = -√40 = -2√10 ........> rejected as length cannot be negative
or x = +√40 = 2√10 .........> accepted value
Based on the above:
x = 2√10 units
Hope this helps :)
