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## Check your answers

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**Check your answers**Make sure your have all of the work shown, not just the correct answer.**1- 4**2. Find the length of the diagonal across a television screen that is 18 cm wide and 18 cm long. 1. Find the lengths of the hypotenuse if the lengths of the legs of a right triangle are 3m and 4m. a2 + b2 = c2 a2 + b2 = c2 182 + 182 = c2 42 + 32 = c2 324 + 324 = c2 16 + 9 = c2 648 = c2 25 = c2 648 = c2 25 = c2 25.5 = c 5 = c 3. Find the length of the hypotenuse if the lengths of the legs of a right triangle are 5cm and 12 cm. 4. A carpenter wants to build a brace for a gate that is 4ft wide and 5ft high. Find the length of the brace. a2 + b2 = c2 a2 + b2 = c2 52 + 122 = c2 42 + 52 = c2 25 + 144 = c2 16 + 25 = c2 169 = c2 41 = c2 169 = c2 41 = c2 13 = c 6.4 = c**5- 8**6. A rectangular field is 50 yards wide and 120 yards long. How long is the diagonal path connecting two opposite corners of the field? 5. The length of the hypotenuse of a right triangle is 4 cm. The length of one leg is 2m. Find the length of the other leg. a2 + b2 = c2 a2 + b2 = c2 502 + 1202 = c2 a2 + 22 = 42 2500 + 14400 = c2 a2 + 4 = 16 16900 = c2 a2 = 12 16900 = c2 12 = a2 130 = c 3.5 = a 8. A 6-m ladder is leaning against a building. Its base is 1 m from the base of the building. How high up the building will the ladder reach? 7. The length of the hypotenuse of a right triangle is 6 cm. The length of one leg is 4 cm. Find the length of the other leg. a2 + b2 = c2 a2 + b2 = c2 a2 + 42 = 62 12 + b2 = 62 a2 + 16 = 36 1 + b2 = 36 a2 = 20 b2= 35 20 = a2 35 = b2 4.47 = a 5.92 = b**9.**30 ft King Post 15 ft Engineers who build bridges often use truss construction. The basic unit of a truss is a triangle. A king post is often used to strengthen a truss. What is the length of the king post shown at the right? a2 + b2 = c2 a2 + 152 = 302 a2 + 225 = 900 a2 = 675 675 = a2 25.98 = a**It is very important to me and to your grade that you are**showing the work the way it is being shown on the board. On a test or quiz or on your homework, I want to see all of these steps.