Answer:
#2: x = 64 y = 32[tex]\sqrt{3}[/tex]
#3: x = 6[tex]\sqrt{2}[/tex] y = 6[tex]\sqrt{2}[/tex]
Or, if you are supposed to write your answers in decimal form instead:
#2: x = 64 y = 55.43
#3: x = 8.49 y = 8.49
Step-by-step explanation:
Special right triangles have specific angle measurements that tell you the lengths of each side. I attached an image that explains the rules of different special right triangles in case you need it :)
#2 is a 30-60-90 triangle. This means that x (the side opposite the 90° angle) is two times the length of the shortest side (32×2), and y is equal to 32[tex]\sqrt{3}[/tex].
#3 is a 45-45-90 triangle. This means that x (the side opposite the 45° angle) is equal to y (the side opposite the other 45° angle). The hypotenuse, 12, is x[tex]\sqrt{2}[/tex] (or y[tex]\sqrt{2}[/tex], since x = y). This means 12 = x[tex]\sqrt{2}[/tex]
