Pythagorean Theorem & Trig Functions Review

Learning Target: Today I will use trigonometric functions (SOHCAHTOA). I will know when to use the Pythagorean theorem. So that I can find the missing side or angle of right triangles. I know I have it when I can find a missing side when given a side and angle. Recall Vocabulary! Match each term to the correct definition. Theta Variable for missing angle. Focus angle. Hypotenuse The longest side of a right triangle. Always across from 90 degree angle. Opposite The side across from theta. Adjacent The side right next to theta that is not the hypotenuse. Sine Opposite Cosine Adjacent Tangent Opposite Identify the following: Use the word in bold to fill in the blank. ThetaOppfor OppositeAdjfor AdjacentHyp for Hypotenuse Theta Opp Adj Hyp When do you use the Pythagorean theorem, a2+ b2 = c2? Solving for missing side given two sides. Solving for missing side given one side. Solving for missing side given one side and an angle. Solving for missing angle given two sides. For each triangle, solve for x. Show or explain your work. Round to the nearest hundredth For each triangle, solve for x. Show or explain your work. Round to the nearest hundredth For each triangle, solve for x. Show or explain your work. Round to the nearest hundredth Solve for sin ϑ (angle in grey). Explain or show your work. Solve for cos ϑ. Explain or show your work. To determine the distance across a pond, Harry made the measurements shown in the diagram.Which is the closest to the distance from R to S? 3.48 m 19.7 m 20.3 m 113.4 m Spiral Review (Optional) Order the angles from smallest to largest. ∠L and ∠N, ∠M ∠N, ∠M, ∠L ∠M, ∠N, ∠L ∠L, ∠M, ∠N Challenge (Extra Credit) . Sort all of the sets of side lengths that can form a triangle. YES 10, 3, 8 NO 3, 5, 2 Explain or show your work for sorting the problem above. ΔXYZ is an isosceles triangle. What is the length of XY? Explain or Show your work.