Question

level 2 solve for the value of y

Explanation:

Step1: Apply Pythagorean theorem

In a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(c\) is the hypotenuse. Here, \(c = 13\) and \(a = 12\), and we want to find \(b=y\). So \(y^{2}=13^{2}-12^{2}\).

Step2: Calculate the squares

\(13^{2}=169\) and \(12^{2}=144\). Then \(y^{2}=169 - 144\).

Step3: Subtract the values

\(y^{2}=25\).

Step4: Take the square root

Since \(y\) represents the length of a side of a triangle, \(y=\sqrt{25}=5\).

Answer:

5