Trigonometry Prerequisite: Special Right Triangles Special Right Triangles: 45 -45-90 Hypotenuse = Leg* 2 Leg = hypotenuse 2 45 Hypotenuse Leg 2 2 45 Leg 3/20/23 Find the value of x in each triangle. 1. 45 X 45 8 4. 18 2. X 14 45 y 5. 45 X 3. 8 6. 10 x X Sketch the figure that is described. Find the requested measure. 7. The perimeter of a square is 48 meters. Find the length of a diagonal. The perimeter of a square is 20 cm. Find the length of a diagonal. Find the value of x and y in each figure. 9. X 12. 7 45 y 60 y X 20 10. 18 11. y X 7 y 45 10 45 X 13. X 60 14. 20 20 60 X 20 y y Trigonometry Prerequisite: Special Right Triangles Special Right Triangles: 30-60-90 Hypotenuse = 2 * Short Leg Long Leg = Short Leg* 3 Find the value of x and y in each triangle. 1. 7. y X 60 8 X 30 y 30 12 11 X y 2. 60 X 12 5. X 60 y 30 12 30 Long Leg n3 Hypotenuse 2n 3 2 60 Short Leg 3. n X 6. X 30 y 60 y 8 8. 9. 60 6. X 16 y 60 A 14 Sketch the figure that is described. Then, find the requested measure. 10. An equilateral triangle has a side length of 10 inches. Find the length of the triangles altitude. The altitude of an equilateral triangle is 18 inches. Find the length of a side.