Respuesta :

Answer:

? = 10

Step-by-step explanation:

the triangle has 2 congruent sides and is therefore isosceles.

the segment from the vertex to the bas is a perpendicular bisector splitting the triangle into 2 right triangles.

Consider the right triangle on the left with legs 6 and 8 and hypotenuse ?

using Pythagoras' identity in the right triangle , then

?² = 6² + 8² = 36 + 64 = 100 ( take square root of both sides )

? = [tex]\sqrt{100}[/tex] = 10