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There are two special types of right triangles: There are two special types of right triangles: 30 60 90 Triangles 60 30 There are two special types of right triangles: 30 60 90 Triangles 60 30 45 45 90 Triangles 45 45 30 What angles goes here? 45 What angle goes here? 30 45 45 Each of these triangles have their own specific pattern 30 60 Each of these triangles have their own specific pattern 30 2 √3 60 1 Match the sides 30 2 ? √3 ? 60 1 ? Match the sides 30 8 ? 4√3 ? 60 4 ? Match the sides 30 10 ? 5√3 ? 60 5 ? Match the sides 6 ? 60 6√3 ? 12 ? 30 A 45-45-90 triangle also has its own unique pattern A 45-45-90 triangle also has its own unique pattern 45 √2 1 45 1 Match the sides 45 √2 ? 1 45 1 ? Match the sides 45 5√2 ? 5 45 5 ? Match the sides 45 9√2 ? 9 45 9 ? Match the sides 8 45 8 ? 8√2 ? 45 30 Which side is opposite the 30∘ angle? c a 60 b side a side b side c 30 Which angle is side c opposite from? c a 60 b 30∘ 60∘ 90∘ 45∘ In order to use 30-60-90 triangles you must be able to match the triangle you are given (2) 60∘ 8 with the formula triangle x (1) 30∘ y (√3) 2 60∘ 1 30∘ √3 60∘ (2) ? (1) ? 30∘ (√3) ? 2 60∘ 1 30∘ √3 (1) ? 60∘ (√3) ? (2) ? 2 60∘ 1 30∘ √3 30∘ 60∘ 12 ? 6 ? 30∘ 6√3 ? 2 60∘ 1 30∘ √3 What is the value of "x", "y" and "z" in the special right triangle? 60∘ z y x 4√3 y = z = x = What is the value of "x", "y" and "z" in the special right triangle? y 45º z 14√2 x x = y = z = |