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7.4 Special Right Triangles Day 2 30! 60! 90 Triangle Theorems: Example 1: Find the values of x and y. Write your answer in the simplest radical form. Example 2: Find the values of x and y. Write
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How to fill out 4 special right triangles
How to fill out 4 special right triangles
01
Step 1: Gather the necessary information. You will need the length of the two legs or the length of one leg and the hypotenuse of the triangle.
02
Step 2: Understand the special right triangles. The four special right triangles are: 45-45-90 triangle, 30-60-90 triangle, 3-4-5 triangle, and 5-12-13 triangle.
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Step 3: Fill out a 45-45-90 triangle. In this triangle, the lengths of the two legs are equal, and the length of the hypotenuse is the length of one leg multiplied by square root of 2 (sqrt(2)).
04
Step 4: Fill out a 30-60-90 triangle. In this triangle, the lengths of the legs are in the ratio 1:√3:2. The shortest leg is opposite the 30-degree angle, the medium leg is opposite the 60-degree angle, and the hypotenuse is opposite the 90-degree angle.
05
Step 5: Fill out a 3-4-5 triangle. In this triangle, the lengths of the legs are in the ratio 3:4:5. The shortest leg is 3 units long, the medium leg is 4 units long, and the hypotenuse is 5 units long.
06
Step 6: Fill out a 5-12-13 triangle. In this triangle, the lengths of the legs are in the ratio 5:12:13. The shortest leg is 5 units long, the medium leg is 12 units long, and the hypotenuse is 13 units long.
Who needs 4 special right triangles?
01
Students studying geometry and trigonometry often need to understand and work with special right triangles.
02
Architects and engineers use special right triangles in their calculations and designs.
03
Mathematicians and researchers may use special right triangles in their work.
04
Anyone who wants to solve problems involving right triangles can benefit from understanding the concepts and properties of special right triangles.
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What is 4 special right triangles?
The 4 special right triangles are the 45-45-90 triangle, the 30-60-90 triangle, the 3-4-5 triangle, and the 5-12-13 triangle.
Who is required to file 4 special right triangles?
Individuals or entities who have relationships with these specific geometric shapes are required to file 4 special right triangles.
How to fill out 4 special right triangles?
To fill out 4 special right triangles, one must provide accurate measurements of the angles and sides of the triangles as per the specific requirements.
What is the purpose of 4 special right triangles?
The purpose of 4 special right triangles is to accurately represent and analyze specific geometric shapes in various mathematical situations.
What information must be reported on 4 special right triangles?
The information reported on 4 special right triangles includes the measurements of angles and sides of the triangles.
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