Podcast
Questions and Answers
Which equation can be used to solve for C?
Which equation can be used to solve for C?
- sin(50)=3/c (correct)
- c=3/sin(50)
- tan(50)=3/c
- cos(50)=3/c
The relationship sin(b)=cos(90-b) in a triangle is always true.
The relationship sin(b)=cos(90-b) in a triangle is always true.
True (A)
What is the length of AC? Round to the nearest tenth.
What is the length of AC? Round to the nearest tenth.
10.5 m
Which equation can be used to solve for b?
Which equation can be used to solve for b?
What is the correct equation to solve for b?
What is the correct equation to solve for b?
What is the length of AB? Round to the nearest tenth.
What is the length of AB? Round to the nearest tenth.
Which equation can be used to solve for C?
Which equation can be used to solve for C?
What is the best estimate for the perimeter of a triangle with angles measuring 30°, 60°, and 90° and a hypotenuse of 10 inches? Round to the nearest tenth.
What is the best estimate for the perimeter of a triangle with angles measuring 30°, 60°, and 90° and a hypotenuse of 10 inches? Round to the nearest tenth.
What is the length of the hypotenuse of a right triangle that has one side measuring 4 inches and an opposite angle of 80°? Round to the nearest tenth.
What is the length of the hypotenuse of a right triangle that has one side measuring 4 inches and an opposite angle of 80°? Round to the nearest tenth.
What is the length of CD?
What is the length of CD?
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Study Notes
Right Triangle Relationships and Calculations
- To find the side length C, use the equation: sin(50) = 3/c.
- The relationship between angles in a right triangle is expressed as sin(b) = cos(90-b).
Side Length Calculations
- Length of side AC is approximately 10.5 m when rounded to the nearest tenth.
- To solve for side b, the equation tan(30) = 5/b can be applied.
- An alternative equation for b is b = 8 * tan(30).
Additional Side Length Information
- The length of side AB is approximately 38.6 when rounded to the nearest tenth.
- Equations to find C include c = 5 * cos(35) and c = 5 * sin(35).
Triangle Properties
- In a triangle with angles measuring 30°, 60°, and 90°, and a hypotenuse of 10 inches, the estimated perimeter is around 23.1 inches when rounded to the nearest tenth.
- For a right triangle with one side measuring 4 inches and an opposite angle of 80°, the hypotenuse is approximately 4.1 inches when rounded to the nearest tenth.
Side Length D
- The length of side CD is measured to be 10.7 cm.
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