Question

4) Find the missing sides of the triangle. Leave your answersas simplified radicals. (2 points)45°2√645°

Answer 1

Remember that

In a 45-90-45 degrees right triangle

The legs are equal

so

The length of the horizontal leg is 2√6 units

Find out the length of the hypotenuse

Applying the Pythagorean Theorem

$\begin{gathered} c^2=(2\sqrt{6})^2+(2\sqrt{6})^2 \\ c^2=24+24 \\ c^2=48 \\ c=4\sqrt{3} \end{gathered}$

therefore

The missing sides of the triangle are

2√6 and 4√3