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There are two special types of right triangles: 30-60-90 Triangles 60 30 45-45-90 Triangles 45 45 30 Enter the missing angle measures. 45 Which side is opposite the 30∘ angle? 30º c a 60º b side a side b side c Which angle is side c opposite? 30º c a 60º b 30∘ 90∘ 45∘ 60∘ Consider the relationships between the sides in a 30-60-90 right triangle. 30 2 √3 60 1 Consider the relationships between the sides in a 30-60-90 right triangle. Solve the right triangle by matching the remaining sides. Look back at the previous slide if helpful. 30º 2 ? √3 ? 60º 1 Solve the right triangle by determining the side lengths. 30º 8 ? 4√3 ? 60º 4 Solve the right triangle by determining the side lengths. 30º 10 5√3 ? 60º 5 ? Solve the right triangle by determining the side lengths. 6 ? 60º 6√3 ? 12 30º Consider the relationships between the sides in a 45-45-90 right triangle. Notice that there are two congruent sides and two congruent angles. 45º √2 1 45º 1 Solve the right triangle by determining the side lengths.Look back at the previous slide if helpful. 45º √2 ? 1 45º 1 ? Solve the right triangle by determining the side lengths. 45º 5√2 ? 5 45º 5 ? Solve the right triangle by determining the side lengths. 45º 9√2 45º Solve the right triangle by determining the side lengths. 8 45º 8 ? 8√2 ? 45º What is the value of "x", "y" and "z" in the special right triangle? 60∘ z y xº 4√3 y = z = x = What is the value of "x", "y" and "z" in the special right triangle? y 45º z 14√2 xº x = y = z = |