Question

What is the value of Y in this triangle

Answer 1

y = 5

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 =
`√(25)` = 5

Answer 2

5

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