What is 30-60-90 Formula
by Yogi P - October 22, 2023
Explaining the 30-60-90 Formula
30-60-90 Formula is a fundamental concept in mathematics and related fields. It is an essential tool for problem-solving in various contexts. In this discussion, we will delve into the 30-60-90 Formula, its significance, and practical applications.
Formula Explanation
The formula for 30-60-90 Formula is expressed as:
30-60-90 Degree Triangle: side a2 = side b2 + side c2
The three sides of the triangle represent the angles of 30°, 60°, and 90° respectively. Side a is the hypotenuse of the triangle. Side b and side c correlate to the shorter sides of a right angled triangle.
Use Cases
The 30-60-90 Formula can be employed to calculate the three sides of a 30-60-90 degree triangle, given any two of the three sides.
It can also be used to find the measure of any angle in a triangle, given the lengths of two sides.
It is also applicable when attempting to calculate the perimeter and area of a given triangle.
Solved Example
Let us assume we want to find the measure of the longest side of a 30-60-90 triangle, given that the other two sides are 3 and 4. Using the 30-60-90 formula:
Side a2 = Side b2 + Side c2
We can calculate Side a as follows:
Side a2 = 32 + 42 = 9 + 16 = 25
Therefore, Side a = √25 = 5
By the end of this discussion, you should have a comprehensive understanding of the 30-60-90 Formula and how it is employed in various scenarios.
