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Solving Right Triangles: Finding Unknown Measures

Learn how to solve right triangles and find the unknown measures using the Pythagorean theorem, inverse trig functions, and the triangle sum theorem. Solve ladder problems as an assignment.

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Solving Right Triangles: Finding Unknown Measures

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  1. Warm UpsWednesday, October 23, 2019 • 1. Use the quadratic formula to solve the equation x2 + 5x - 1 = 0. D. C. A. B. D. • 2. Factor: 4x2 – 49 • (2x + 7)(2x - 7) C. (4x – 7)(x + 7) • (2x – 7)(2x - 7) D. (4x + 7)(x – 7) A.

  2. Solving Right Triangles How do you solve right triangles? Day 54 Lesson 5.4 Wednesday, October 23, 2019

  3. Every right triangle has one right angle, two acute angles, one hypotenuse, and two legs. To SOLVE A RIGHT TRIANGLE means to find all 6 parts.

  4. 37° 24.0 18.1 1. Solve the right triangle. Round to the nearest tenth.

  5. Solving Right Triangles 2. Find the unknown measures. Round lengths to the nearest hundredth and angle measures to the nearest degree. By the Pythagorean Theorem, RT2 = RS2 + ST2 (5.7)2 = 52 + ST2 Since the acute angles of a right triangle are complementary, mT  90° – 29°  61°.

  6. Use Pythagorean Theorem to find AB. 3.6 Use an inverse trig function to find a missing acute angle… 56.3° Use Triangle Sum Theorem to find the other acute angle… 33.7° 3. Solve the right triangle. Round decimals the nearest tenth.

  7. 4. The Washington Monument is 555 feet high. A person in the top of the monument can see Mr. Zittrouer and calculates the angle of depression to be 55o. How far is Mr. Zittrouer from the base of the monument? 55o 555 555 ft 55o g 55o g

  8. 5. Solve the right triangle. Round decimals to the nearest tenth.

  9. 6. Solve the right triangle. Round decimals to the nearest tenth.

  10. Assignment: • Pg 174 (#7 – 14.)

  11. Ladder Problems http://www.geogebra.org/en/examples/ladder_wall/ladder_wall.html

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