Podcast
Questions and Answers
What is the first step in solving a right triangle?
What is the first step in solving a right triangle?
Identify the given information
What are the two common methods used to solve a right triangle?
What are the two common methods used to solve a right triangle?
Trigonometric ratios and the Pythagorean theorem
What are the three main angles in a right triangle?
What are the three main angles in a right triangle?
90 degrees, 45 degrees, and 45 degrees
What is the relationship between the legs and the hypotenuse of a right triangle?
What is the relationship between the legs and the hypotenuse of a right triangle?
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What is the sum of all angles in a right triangle?
What is the sum of all angles in a right triangle?
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In a right triangle, what is the relationship between the square of the length of the hypotenuse and the sum of the squares of the lengths of the other two sides?
In a right triangle, what is the relationship between the square of the length of the hypotenuse and the sum of the squares of the lengths of the other two sides?
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What is the name of the side opposite the right angle in a right triangle?
What is the name of the side opposite the right angle in a right triangle?
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What is the name of the two sides that form the right angle in a right triangle?
What is the name of the two sides that form the right angle in a right triangle?
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Study Notes
Solving Right Triangles
- The first step in solving a right triangle is to identify the given information and the unknown variables.
Methods for Solving Right Triangles
- Two common methods used to solve a right triangle are the Pythagorean theorem and trigonometry.
Angles in a Right Triangle
- The three main angles in a right triangle are the right angle (90°) and the two acute angles.
Legs and Hypotenuse
- The relationship between the legs and the hypotenuse of a right triangle is that the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.
Angle Sum
- The sum of all angles in a right triangle is 180°.
Pythagorean Theorem
- The square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
Hypotenuse and Legs
- The side opposite the right angle in a right triangle is called the hypotenuse.
- The two sides that form the right angle in a right triangle are called legs.
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Description
Test your knowledge of right triangles by understanding the first step in solving them, the common methods used, the main angles, and the relationship between the legs and hypotenuse.
