Answer:
a) [tex]\sqrt{69}[/tex]
Step-by-step explanation:
this is a right triangle so you can use the Pythagorean Theorem:
the sum of the legs, squared, is equal to the hypotenuse, squared
10² + b² = 13²
100 + b² = 169
b² = 69
b = [tex]\sqrt{69}[/tex]