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8.2: Special Right Triangles

8.2: Special Right Triangles. p. 405-411. 2 Types of Special Right Triangles :. 45-45-90. 30-60-90. How these 2 Triangles related to any other 30-60-90 or 45-45-90 Triangles?. Solve for x:. How do we do it?. Suggestions?. - Same as the angle measure (so x = 90)?.

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8.2: Special Right Triangles

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  1. 8.2: Special Right Triangles p. 405-411

  2. 2 Types of Special Right Triangles: 45-45-90 30-60-90 How these 2 Triangles related to any other 30-60-90 or 45-45-90 Triangles?

  3. Solve for x: How do we do it? Suggestions? - Same as the angle measure (so x = 90)? No. the angles only allow us to order the sides from greatest to least - The Pythagorean Theorem ? No, we only have 1 side (8in), we would need the other unknown side to find x - Unsolvable ? Trust me, there is a way. Look at the previous Slide. Any similarities between This triangle and the previous one. SIMILAR TRIANGLES by AA Now can you solve it

  4. DC = 10 in , Find AD

  5. Solve for x

  6. The perimeter of an equilateral triangle is 36 ft. Find the length of altitude of the triangle.

  7. Find the exact length of the throw From home to 2nd base.

  8. Solve for the missing measurements of the following triangles. Show all supporting work. 1. 2. 3. 4.

  9. 1. Find the length of the diagonal of a square that has an area of 2. A ladder leaning against a wall makes a 60 angle with the ground. The base of the ladder is 3 m from the building. How high above the ground is the top of the ladder? 3. Phil stands on the sidewalk of a road. Phil’s favorite pizza restaurant is on the other side of the road. His estimated line of sight to the pizza place is He needs to go to the post office at some point which is 120 feet up the road he is standing on. The line of sight from the post office to the pizza place is How far of walk would it be for Phil from his original position to the pizza place? How far is the walk from the post office to the pizza place?

  10. This is useful for finding exact values, especially in Pre-Calculus when you find exact values of Trigonometric functions using the Unit Circle.

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