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Area of SAS & ASA Triangles quiz

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  • What is the standard formula for the area of a triangle?
    Area = 1/2 * base * height.
  • How can you find the height of a non-right triangle if you know a side and an angle?
    The height can be found using h = c * sin(A), where c is the side and A is the angle.
  • What is the area formula for a triangle when you know sides b and c and angle A?
    Area = 1/2 * b * c * sin(A).
  • List the three variations of the area formula for non-right triangles.
    The variations are: BC * sin(A), AC * sin(B), and AB * sin(C).
  • What do you do if you are not given the height in a triangle area problem?
    You use the sine of a known angle and a side to calculate the height.
  • In an ASA triangle, what must you do before using the area formula?
    You must use the Law of Sines to find the missing side.
  • What is the angle sum formula for a triangle?
    A + B + C = 180°.
  • How do you find a missing angle in a triangle if you know the other two?
    Subtract the sum of the known angles from 180°.
  • What is the Law of Sines formula?
    sin(A)/a = sin(B)/b = sin(C)/c.
  • How do you solve for a missing side using the Law of Sines?
    Set up the ratio with the known angle and side, then solve for the unknown side.
  • Why do you need to find a missing side in an ASA triangle before calculating area?
    Because the area formula requires two sides, and ASA only gives one side.
  • What is the process for finding the area of an ASA triangle?
    Find the missing angle, use Law of Sines to find the missing side, then use the area formula.
  • If you know two angles and one side, what is your first step to find the area?
    Find the third angle using the angle sum formula.
  • What is the formula for the height in terms of the hypotenuse and angle?
    Height = hypotenuse * sin(angle).
  • What is the final step after finding all necessary sides and angles in a triangle area problem?
    Plug the values into the area formula to calculate the area.