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HW 5.8 Special Rights Geometry Word Problems – Special Right ∆’s Name ____________________ Complete the following tables and use them to answer the questions regarding special right triangles below. 45-45-90 Leg 30-60-90 Leg Hypotenuse 1. Find x. 3. The length of a diagonal of a square is Short Leg Long Leg Hypotenuse 2. Find x and y. 5 2 meters. Find the perimeter of the square. Draw a picture. 4. What is the area of an equilateral triangle with side lengths of 4 feet? 5. What is the perimeter of an equilateral triangle if the height of 30 yards? 6. Ms. Roberts is using an equilateral triangle as part of a design on a sweatshirt. Each side of the triangle is 12 inches long. Ms. Roberts is sewing a line of sequins from the midpoint of one side to the opposite vertex. How long will the line of sequins be? 7. A fence around a square garden has a perimeter of 48 feet. Find the approximate length of the diagonal of this square garden. 8. A dog walk is used in dog agility competitions. In this dog walk, each ramp makes an angle of 30 with the ground. a. How long is one ramp? b. How long is the entire dog walk, including both ramps? 9. ∆KMS has a right angle at M. The measure of MSK 60 , and KS = 17 cm. Find the length of KM ? 10. Find the area of ∆RST 11. Find the height of the tree. R 12 2 in S T 12. Find the perimeter of the following triangle. (figure not drawn to scale) Person is 5 feet tall. 45 10 feet 13. 25 cm 24 cm Which is closest to the length in feet of the diagonal board that Mr. Carpenter used to brace the wooden gate?