Answer:
x = [tex]\sqrt{15}[/tex]
Step-by-step explanation:
Since 2 sides are equal then triangle is isosceles and the segment from the vertex is a perpendicular bisector.
Th triangle is divided into 2 right triangles with legs x and 7 and hypotenuse 8
Using Pythagoras' identity, then
x² + 7² = 8²
x² + 49 = 64 ( subtract 49 from both sides )
x² = 15 ( take square root of both sides )
x = [tex]\sqrt{15}[/tex]
