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NAME _______________________ Right Triangles #3 Fill in the spaces below, based on the 30-60-90 triangle given below. 1. AB = _______ BC = _______ AC = _______ CD = _______ 12 AD = _______ BD = _______ 2. AB = _______ 32 BC = _______ AC = _______ CD = _______ AD = _______ BD = _______ 15 3. AB = _______ BC = _______ AC = _______ CD = _______ AD = _______ BD = _______ 4. AB = _______ BC = _______ AC = _______ x CD = _______ x+12 AD = _______ BD = _______ A D 90 60 30 B C 5. An equilateral triangle has a perimeter of 30 cm. Find the following: a. Side of the = ______ b. altitude of = _______ c. Area of the = ______ d. Radius of inscribed circle = _______ e. Radius of circumscribed circle = ________ 6. The altitude to the side of an equilateral triangle is 24 cm. Find the following: a. Side of the = ______ b. perimeter of = _______ c. Area of the = ______ d. Radius of inscribed circle = _______ e. Radius of circumscribed circle = ________ Geometry Honors Right Triangles #3 Livingston High School Mathematics Department 7. The radius of a circumscribed circle for an equilateral triangle is 18 cm. Find the following: a. Side of the = ______ b. altitude of = _______ c. Perimeter of the = ______ d. Area of the = _______ e. Radius of the inscribed circle = ________ 8. The area of a square is 256 cm2. Find the following: a. Side of the square = _______ b. Perimeter of square = _______ c. Diagonal of square = ______ d. Radius of circumscribed circle = ______ 9. The area of a square is 80 cm2. Find the following: a. Side of the square = _______ b. Perimeter of square = _______ c. Diagonal of square = ______ d. Radius of circumscribed circle = ______ 10. The perimeter of a square is 163 cm. Find the following: a. Side of the square = _______ b. Area of the square = _______ c. Diagonal of square = ______ d. Radius of circumscribed circle = ______ 11. The diagonal of a square is 48 cm. Find the following: a. Side of the square = _______ b. Perimeter of square = _______ c. Area of the square = ______ d. Radius of circumscribed circle = ______ 12. The radius of the circumscribed circle around a square is 6 cm. Find the following: a. Side of the square = _______ b. Perimeter of square = _______ c. Diagonal of square = ______ d. Area of the square = _______ Geometry Honors Right Triangles #3 Livingston High School Mathematics Department NAME _______________________ 13. Right Triangle Worksheet #3 What are the exact lengths of the other two sides? A 62 B C 14. In ABC the side AC = 60 cm and the mC = 30 while mB = 45. 60 B C 15. A In ABC the shortest side AB = 62 cm and the mC = 30 while mB = 45. B What are the exact lengths of the other two sides? In ABC, mA=45 and mACB = 120. If the distance from B to AC = 18, find the following: x = _____________ y = _______ w = ______ z = _______ A w 18 y x C z D B 16. x = ______________ y = _________ 246 w y A x In ABC, mA=45 and mACB = 120. If the longest side of ABC = 246, find the following: C Geometry Honors Right Triangles #3 w = ________ z D Livingston High School Mathematics Department z = _________