A comprehensive guide to special right triangles 45-45-90and 30-60-90,...
Algebra 2200 views·Updated Jul 31, 2026·1 pageFun Guide to Special Right Triangles: 45-45-90 and 30-60-90
Maria Hernandez@mariahernandez
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Special Right Triangles: Key Relationships and Calculations
The first page introduces two fundamental special right triangles: the 45-45-90 and 30-60-90 triangles, along with their essential properties and calculations. These triangles have unique characteristics that make them particularly useful in geometric problem-solving.
Definition: A 45-45-90 triangle is a right triangle with two 45-degree angles and one 90-degree angle, where both legs are equal in length.
Highlight: For a 45-45-90 triangle, if the legs are length x, the hypotenuse will always be x√2.
Example: In a 45-45-90 triangle with legs of 5 units, the hypotenuse would be 5√2 ≈ 7.1 units.
Vocabulary: The "leg" refers to either of the two sides that form the right angle in a right triangle, while the "hypotenuse" is the longest side opposite the right angle.
Definition: A 30-60-90 triangle has angles of 30, 60, and 90 degrees, with sides following a specific ratio pattern.
Example: In a 30-60-90 triangle with a short leg of 14 units, the long leg would be 14√3 ≈ 24.2 units, and the hypotenuse would be 28 units.
Highlight: For a 30-60-90 triangle, if the shortest leg is x, then the long leg is x√3, and the hypotenuse is 2x.
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Algebra 2200 views·Updated Jul 31, 2026·1 pageFun Guide to Special Right Triangles: 45-45-90 and 30-60-90
Maria Hernandez@mariahernandez
A comprehensive guide to special right triangles 45-45-90 and 30-60-90, focusing on their unique properties and methods for calculating hypotenuse and finding leg lengths in special triangles. The guide covers essential formulas, relationships between sides, and practical applications in...
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Special Right Triangles: Key Relationships and Calculations
The first page introduces two fundamental special right triangles: the 45-45-90 and 30-60-90 triangles, along with their essential properties and calculations. These triangles have unique characteristics that make them particularly useful in geometric problem-solving.
Definition: A 45-45-90 triangle is a right triangle with two 45-degree angles and one 90-degree angle, where both legs are equal in length.
Highlight: For a 45-45-90 triangle, if the legs are length x, the hypotenuse will always be x√2.
Example: In a 45-45-90 triangle with legs of 5 units, the hypotenuse would be 5√2 ≈ 7.1 units.
Vocabulary: The "leg" refers to either of the two sides that form the right angle in a right triangle, while the "hypotenuse" is the longest side opposite the right angle.
Definition: A 30-60-90 triangle has angles of 30, 60, and 90 degrees, with sides following a specific ratio pattern.
Example: In a 30-60-90 triangle with a short leg of 14 units, the long leg would be 14√3 ≈ 24.2 units, and the hypotenuse would be 28 units.
Highlight: For a 30-60-90 triangle, if the shortest leg is x, then the long leg is x√3, and the hypotenuse is 2x.
We thought you’d never ask...
Our AI companion is specifically built for the needs of students. Based on the millions of content pieces we have on the platform we can provide truly meaningful and relevant answers to students. But its not only about answers, the companion is even more about guiding students through their daily learning challenges, with personalised study plans, quizzes or content pieces in the chat and 100% personalisation based on the students skills and developments.
You can download the app in the Google Play Store and in the Apple App Store.
That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.
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