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Special Right Triangle 30-60-90 (II) - check your understanding

Author:Leigh Paris, Tim Brzezinski
Take a few minutes to interact with the applet below. Then, answer the questions that follow.

Suppose the measure of angle A is x. What would the measure of angle B be (in terms of x)?

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Again, suppose the measure of angle A is x. What would the measure of angle C be (in terms of x)?

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Take your responses to the first 2 questions and write an equation, in terms of x, that expresses the relationship among the 3 angle measures of this triangle. What is the value of x? What are the measures of this triangle's 3 angles?

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How does the length of the hypotenuse of this triangle compare with the length of this triangle's shorter leg?

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Suppose the shorter leg's length (BC) = 4 cm. What would hypotenuse AB be?

Select all that apply
  • A
  • B
  • C
  • D
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Suppose the shorter leg's length (BC) = 4 cm. What would longer leg AB be?

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  • A
  • B
  • C
  • D
Check my answer (3)

Suppose short leg BC = 5. What is the length of long leg AC in simple radical form?

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  • A
  • B
  • C
  • D
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Suppose Hypotenuse AB = 5. What is the length of long leg AC?

Select all that apply
  • A
  • B
  • C
  • D
Check my answer (3)

Suppose long leg AC = 10. What is the length of short leg BC in simplified radical form?

Select all that apply
  • A
  • B
  • C
  • D
Check my answer (3)

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