In Exercise, prove that triangles ABC and RST are similar, and find the missing sides and angles. The notation is the same as in Exercises 1–4.
∠A = 105°, ∠B = 33.5°, a = 7, b = 4, c = 4.8 and ∠R 105°, ∠T = 33.5°, r = 3.5, t = 2.
In Exercises 1–4, triangle ABC is similar to triangle RST. The following notation is used: The side opposite angle A is denoted a, the side opposite angle B is denoted b, the side opposite angle R is denoted r, and so on.
1. If ∠B = 37°, ∠C = 90°, a = 6, b = 4.5 and ∠R = 53°, ∠T = 90°, s = 21, find c, r, t.
2. If ∠A = 90°, c = 220 and ∠T = 90°, ∠S ≅ ∠B, r = 100, s = 50, find a, b, t.
3. If a = 7, b = 5, c = 6, and ∠A ≅ ∠T, ∠C ≅ ∠R, s = 2.5, find r and t.
4. If a = 12, b = 9, c = 4, and ∠B ≅ ∠T, ∠C ≅ ∠R, t = 6.3, find r and s.
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