Pythagorean Theorem for Finding Height of a Triangle | Calculate Hypotenuse
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The Pythagorean Theorem is one of the most fundamental principles in mathematics. It describes the relationship between the sides of a right triangle, which is a triangle with a 90-degree angle. In simple terms, the theorem states that the sum of the squares of the two shorter sides of a right triangle is equal to the square of the length of the longest side, also known as the hypotenuse.
The Formula and Application of Pythagorean Theorem
The Pythagorean Theorem can be expressed in the formula:
a² + b² = c²
where:
- a and b: the lengths of the two shorter sides of the triangle
- c: the length of the hypotenuse
For example, if a right triangle has a base of 6 cm and a height of 8 cm, we can use the Pythagorean Theorem to find the length of the hypotenuse:
a² + b² = c²
6² + 8² = c²
36 + 64 = c²
100 = c²
c = sqrt(100) = 10 cm
This means that the hypotenuse of the triangle is 10 cm long.
Units of Measurement
When using the Pythagorean Theorem, it's important to make sure that the units of measurement are consistent. For example, if the shorter sides of a right triangle are measured in feet, then the hypotenuse must also be expressed in feet. Similarly, if the triangle's height is measured in centimeters, the other sides must be measured in centimeters as well.
Download Our Pythagorean Theorem Document Template
The Pythagorean Theorem is a fundamental concept in geometry, and understanding how to apply it is essential. To help you with your math studies or teaching, we offer a Pythagorean Theorem document template in DOCX format that you can download for free. With this document, you can easily explain the concept and provide examples to your students or colleagues. Download our Pythagorean Theorem document template now and start exploring the wonders of mathematics!
Visit BizzLibrary.com today to discover a wide range of educational templates and document examples, including height and distance measurement, triangle geometry, fractions math, and more. Our templates are designed to be user-friendly, customizable, and optimized for easy printing and sharing.
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