what is the value of Y in this triangle

Answer:
5
Step-by-step explanation:
Pythagorean Theorum: a^2 + b^2 = c^2
12^2 + y^2 = 13^2
144 + y^2 = 169
Subtract 144 from both sides
y^2 = 25
Square root both sides
y = 5
Answer:
y = 5
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
y² + 12² = 13²
y² + 144 = 169 ( subtract 144 from both sides )
y² = 25 ( take the square root of both sides )
y = [tex]\sqrt{25}[/tex] = 5