Question

find y.
11 yd
write your answer in simplest radical form.
yards

Explanation:

Step1: Identify triangle type

This is a 45-45-90 right triangle, so the legs are equal. The given leg is 11 yd, so the other leg is also 11 yd.

Step2: Apply Pythagorean theorem

Use $c=\sqrt{a^2+b^2}$ where $a=b=11$.
$$y=\sqrt{11^2 + 11^2}$$

Step3: Simplify the expression

Calculate and factor out perfect squares.
$$y=\sqrt{2\times11^2}=11\sqrt{2}$$

Answer:

$11\sqrt{2}$ yards