30-60-90 & 45-45-90 Triangles

Description

ACT Math Quiz on 30-60-90 & 45-45-90 Triangles, created by John Doaks on 13/03/2017.
John Doaks
Quiz by John Doaks, updated more than 1 year ago
John Doaks
Created by John Doaks over 7 years ago
120
1

Resource summary

Question 1

Question
Which of the following answer choices indicates the correct side lengths of the figure?
Answer
  • Side opposite 45° = x √3, hypotenuse = 2x
  • Side opposite 45° = x, hypotenuse = x √2
  • Side opposite 45° = 2x, hypotenuse = x √2
  • Side opposite 45° = x √3, hypotenuse = x √2

Question 2

Question
Which of the following answer choices reflects logical reasoning regarding the sample question?
Answer
  • The missing angle is 65° and the missing side is 4. Therefore this is a 45°,45°,90° triangle.
  • The missing angle is 90° and the missing side is 5.
  • The missing angle is 55° and the missing side is x √3.
  • The missing angle is 45° and missing side is 5 √2. Therefore this is a 45°,45°,90° triangle.

Question 3

Question
How can an equilateral triangle be turned in to a "30, 60, 90" triangle?
Answer
  • By dividing the angles by the area
  • By dividing the perimeter by the area
  • By adding the angles together
  • By dropping an altitude down the middle
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