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5.5 – 5.6 Review G eometry Name___________________________ I can order the angles & sides of a triangle from smallest to largest. List the sides and the angles in order from smallest to largest. 1.) 2.) 3.) 4.) This one’s tricky!! I can determine which combinations of side lengths form a triangle. Is it possible to construct a triangle with the given side lengths? If not, explain why not. 5.) 22, 26, 65 6.) 1, 4, 6 7.) 17, 17, 33 Describe the possible side lengths of the third side of the triangle given the lengths of the other two sides. 8.) 4 ft, 12 ft 9.) 9 m, 18 m 10.) 7 ft, 24 in Is it possible to build a triangle using the given side lengths? List the sides in order from smallest to largest. (Hint: Try converting to decimals!) 11.) 46, 3 5, 5 12.) 26, 4 5, 2 2 13.) Describe the possible values of x. 14.) Application: You are standing 200 feet from a tall building. The angle of elevation from your feet to the top of the building is 51Λ (as shown in the figure). What can you say about the height of the building? I can use the Hinge Theorem to compare sides/angles of triangles. Complete with <, >, or =. 15.) 16.) 17.) 18.) m∠1 __?__ m∠2 19.) m∠1 __?__ m∠2 20.) m∠1 __?__ m∠2 Use the Hinge Theorem or its converse and properties of triangles to write and solve an inequality to describe a restriction on the value of x. 21.) 22.) 23.) Given the triangles below, if ππ ≅ πΆπ΅, ππ ≅ π΄π΅, and m∠B < m∠Y, use the Hinge Theorem to write a statement comparing two sides of the triangles. 25.) MULTIPLE CHOICE: In ΔPQR and ΔEGF, ππ ≅ πΈπΉ, ππ ≅ πΊπΉ, PQ = 18 cm, EG = 24 cm, and m∠R = 65Λ. Which angle measure is reasonable for ∠F? [Hint: Try drawing a picture of the 2 triangles] a.) 55Λ b.) 65Λ c.) 70 Λ d.) 60 Λ