Question

Using the triangle diagram below in the rules for special right triangles, discover the four missing links and choose them from the available choices:

Answer 1

Answer:

The solution for the system of right triangles are, respectively: $a = 2\sqrt{6}$, $b = 4\sqrt{3}$, $c = 4\sqrt{6}$, $d = 6\sqrt{2}$

Step-by-step explanation:

By Geometry, we get the following equivalencies:

$a = 2\sqrt{6}$ (45 - 45 - 90 Theorem)

$b = \sqrt{2}\cdot (2\sqrt{6})$ (45 - 45 - 90 Theorem)

$b = 4\sqrt{3}$

$c = \frac{2\sqrt{6}}{\frac{1}{2} }$ (30 - 60 - 90 Theorem)

$c = 4\sqrt{6}$

$d = \frac{2\sqrt{6}}{\frac{\sqrt{3}}{3} }$ (30 - 60 - 90 Theorem)

$d = 6\sqrt{2}$