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# Solving Right Triangle Side Lengths

Created by
@WellBlue

### 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

True

10.5 m

### Which equation can be used to solve for b?

<p>tan(30)=5/b</p> Signup and view all the answers

### What is the correct equation to solve for b?

<p>b=(8)tan(30)</p> Signup and view all the answers

### What is the length of AB? Round to the nearest tenth.

<p>38.6</p> Signup and view all the answers

### Which equation can be used to solve for C?

<p>c=(5)cos(35)</p> Signup and view all the answers

### 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.

<p>23.1 inches</p> Signup and view all the answers

### 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.

<p>4.1 inches</p> Signup and view all the answers

### What is the length of CD?

<p>10.7 cm</p> Signup and view all the answers

## 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).

• 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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## Description

This quiz focuses on solving for the side lengths of right triangles using trigonometric functions. Each card presents a question that tests your understanding of sine, cosine, and tangent relationships. Review these concepts to enhance your skills in geometry and trigonometry.

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