Question

directions: find the value of each
1.
2
13
x = 13
13√2
y =

Explanation:

Step1: Identify the triangle type

This is a 45 - 45 - 90 right - triangle. In a 45 - 45 - 90 triangle, the legs are equal. So \(x = 13\).

Step2: Use the hypotenuse formula

For a 45 - 45 - 90 triangle, the hypotenuse \(y\) is related to the leg \(a\) (here \(a = 13\)) by the formula \(y=a\sqrt{2}\). Substituting \(a = 13\), we get \(y = 13\sqrt{2}\).

Answer:

\(x = 13\), \(y=13\sqrt{2}\)