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5 Written questions

5 Multiple choice questions

  1. Means finding any missing angles and/or sides in a triangle. Methods to solve a right triangle include the Pythagorean theorem, triangle sum theorem (if given one acute angle in a right triangle, we can find the other by subtracting the acute angle's measure from 90), trig ratios, and inverse trig functions
  2. Special right triangle: hypotenuse = shorter side 2; longer side = shorter side sqrt(3)
  3. trigonometric ratio: abbreviation tan; the tangent of an acute angle in a right triangle equals the side opposite the angle divided by the adjacent side (tan A = opp/adj)
  4. Special right triangle: isosceles right triangle where the legs are congruent and the hypotenuse = leg * sqrt(2)
  5. trigonometric ratio: abbreviation cos; the cosine of an acute angle in a right triangle equals the side adjacent to the angle divided by the hypotenuse (cos A = adj/hyp)

5 True/False questions

  1. Angle of depressionThe angle formed when looking up from the horizontal

          

  2. Pythagorean TripleThree positive integers that satisfy a^2 + b^2 = c^2, that is, they could be the three side lengths of a right triangle. Primitive triples include: 3, 4, 5; 5, 12, 13, and 8, 15, 17. More triples can be formed by multiplying each member of a primitive triple by the same multiplier; for example, since 3, 4, 5 is a triple, so is 6, 8, 10.

          

  3. SOH CAH TOAtrigonometric ratio: abbreviation tan; the tangent of an acute angle in a right triangle equals the side opposite the angle divided by the adjacent side (tan A = opp/adj)

          

  4. Acute triangleIn a triangle with shorter sides a and b and longer side c, if a^2 + b^2 > c^2, then the triangle is acute

          

  5. Pythagorean TheoremThree positive integers that satisfy a^2 + b^2 = c^2, that is, they could be the three side lengths of a right triangle. Primitive triples include: 3, 4, 5; 5, 12, 13, and 8, 15, 17. More triples can be formed by multiplying each member of a primitive triple by the same multiplier; for example, since 3, 4, 5 is a triple, so is 6, 8, 10.