Unit 4 Retest
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the length of the sides of an equilateral triangle if the altitude is given?
Back
In an equilateral triangle, the altitude divides the triangle into two 30-60-90 triangles. If the altitude (h) is known, the length of a side (s) can be calculated using the formula: s = 2h/√3.
2.
FLASHCARD QUESTION
Front
What is the relationship between the angle of elevation and the height of an object?
Back
The angle of elevation is the angle formed by the horizontal line and the line of sight to an object above the horizontal. The height can be calculated using trigonometric functions, specifically: height = distance * tan(angle of elevation).
3.
FLASHCARD QUESTION
Front
How do you find the length of the diagonal in a rectangle?
Back
The length of the diagonal (d) can be found using the Pythagorean theorem: d = √(length² + width²).
4.
FLASHCARD QUESTION
Front
What is the formula to calculate the angle formed by the diagonal and a side of a rectangle?
Back
The angle (θ) can be calculated using the cosine function: cos(θ) = adjacent side / diagonal.
5.
FLASHCARD QUESTION
Front
How do you calculate the length of a side of a square given its diagonal?
Back
The length of a side (s) can be calculated using the formula: s = diagonal / √2.
6.
FLASHCARD QUESTION
Front
What is the significance of the 30-60-90 triangle in relation to equilateral triangles?
Back
In a 30-60-90 triangle, the ratios of the lengths of the sides are 1:√3:2. This relationship helps in finding the lengths of sides in equilateral triangles when the altitude is known.
7.
FLASHCARD QUESTION
Front
What is the formula for the area of a triangle?
Back
The area (A) of a triangle can be calculated using the formula: A = 1/2 * base * height.
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