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8085300
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.
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math
act
Quiz by
John Doaks
, updated more than 1 year ago
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Created by
John Doaks
over 7 years ago
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Resource summary
Question 1
Question
Which of the following answer choices indicates the correct side lengths of the figure?
Image:
b7d5251d-1985-46fa-9b9f-6e6c9413aaf1 (image/jpeg)
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?
Image:
20845e7a-850a-4f13-a763-636a826c2a4b (image/jpeg)
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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