find the missing lenghts of the sides

Answer:
x = 8 ; y = 8√2
Step-by-step explanation:
In the given figure, two base angles are equal.
In an isosceles triangle, the sides opposite to the equal angles are equal.
∴ x= 8
The triangle is also right angled.
Using Pythagoras theorem,
hypotenuse² = base² + perpendicular²
y² = 8² + x² = 8² + 8² = 128
y = √128 = 8√2
∴ x = 8 ; y = 8√2
Answer:
option 2
Step-by-step explanation:
tan45° = x/8
=>1 = x/8
=>x =8
for y,
cos45° = 8/y
=>1/√2 = 8/y
=>y = 8√2