Podcast
Questions and Answers
What is the ratio of the hypotenuse to the length of the leg in a 45-45-90 triangle?
What is the ratio of the hypotenuse to the length of the leg in a 45-45-90 triangle?
- 1:2
- 2:1
- 1:1
- √2:1 (correct)
In a 30-60-90 triangle, what is the ratio of the longer leg to the shorter leg?
In a 30-60-90 triangle, what is the ratio of the longer leg to the shorter leg?
- 1:3
- 2:1
- 3:1 (correct)
- 1:2
How can you find the value of the leg in a 45-45-90 triangle?
How can you find the value of the leg in a 45-45-90 triangle?
- Divide the hypotenuse by √2 (correct)
- Divide the hypotenuse by 2
- Multiply the hypotenuse by 2
- Multiply the hypotenuse by √2
What is the identifying feature of the hypotenuse in a right triangle?
What is the identifying feature of the hypotenuse in a right triangle?
How can you find the value of the hypotenuse in a 45-45-90 triangle?
How can you find the value of the hypotenuse in a 45-45-90 triangle?
What is the angle opposite to the shorter leg in a 30-60-90 triangle?
What is the angle opposite to the shorter leg in a 30-60-90 triangle?
How do you find the length of the hypotenuse in a 30-60-90 triangle?
How do you find the length of the hypotenuse in a 30-60-90 triangle?
What is the ratio of the longer leg to the shorter leg in a 30-60-90 triangle?
What is the ratio of the longer leg to the shorter leg in a 30-60-90 triangle?
If you know the length of the hypotenuse, how do you find the length of the shorter leg?
If you know the length of the hypotenuse, how do you find the length of the shorter leg?
What is the advantage of finding the shorter leg first in a 30-60-90 triangle?
What is the advantage of finding the shorter leg first in a 30-60-90 triangle?
If you know the length of the longer leg, how do you find the length of the shorter leg?
If you know the length of the longer leg, how do you find the length of the shorter leg?
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Study Notes
30-60-90 Triangle
- The shorter leg is opposite the 30° angle, and the longer leg is opposite the 60° angle.
- To find the hypotenuse, multiply the shorter leg by 2.
- To find the longer leg, multiply the shorter leg by √3.
- To find the shorter leg (given the hypotenuse), divide the hypotenuse by 2.
- To find the shorter leg (given the longer leg), divide the longer leg by √3.
45-45-90 Triangle
- The hypotenuse is √2 times the length of the leg.
- To find the hypotenuse, multiply the leg by √2.
- To find the leg, divide the hypotenuse by √2.
Key Facts
- In a right triangle, the hypotenuse is always opposite the 90° angle.
- Identifying the shorter and longer legs in a 30-60-90 triangle is crucial for solving problems.
- Finding the shorter leg first can make it easier to solve problems in a 30-60-90 triangle.
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