Question

question #3 find the value of x & y.

Explanation:

Step1: Identify triangle type

This is a 45 - 45 - 90 right - triangle. In a 45 - 45 - 90 triangle, the legs are equal. So $y = 7$.

Step2: Use Pythagorean theorem or ratio

For a 45 - 45 - 90 triangle with leg length $a$ and hypotenuse length $c$, the ratio is $a:a:c = 1:1:\sqrt{2}$. Here $a = 7$, and $c=x$. Using the ratio, $x = 7\sqrt{2}$.

Answer:

$x = 7\sqrt{2}$, $y = 7$