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Name _______________________________ Date _______ Block _______ Decide whether the numbers can represent the side lengths of a triangle. If they can, classify the triangle as acute, right, or obtuse. If the numbers cannot form a triangle, write “none” 1. 26, 35, 62 2. 14, 11, 25 3. 30, 72, 78 4. 17, 19, 22 5. 18, 5, 16 6. 5, 9, 7 3 Solve for x. (Keep exact solutions.) 7. 16 17 8. 25 12 x x 9. x 10. 5 16 x 7 11. Right Isosceles Triangle A right isosceles triangle has two legs of the same length x and a hypotenuse of length h. What is the value of h in terms of x? Name _______________________________ Date _______ Block _______ 12. Solve for x if the lengths of the two legs of a right triangle are hypotenuse is 2 x 5 . (Draw a picture!) 85 and 2x and the length of the In Exercises 13 and 14, use the diagram and the following information. Railroad Bridge Many railroad bridges are designed using triangular structures like the one in the diagram. All five triangles in the design are congruent. The length of the bridge is 48 feet and the height is 15 feet. 13. Are the triangles in the structure acute, right or obtuse triangles? (Remember Thm. 7.2-7.4) Show supporting work. 14. How many feet of material are needed to build one side of the bridge as shown in the diagram? In Exercises 15 and 16, find the area of the Isosceles triangle. 15. 16. Name _______________________________ Date _______ Block _______