Geometry | Senioritis

John Rhodes
July 7, 2023
Geometry

Using Auxiliary Lines in Geometry: Simplifying and Solving Problems

auxillary line An auxiliary line, sometimes called an auxiliary line segment, is a line segment added to a geometric diagram to assist in solving a problem or...

John Rhodes
July 7, 2023
Geometry

Determining if a Triangle is Acute: Calculating Angles and Using Properties of Side Lengths

Acute Triangle An acute triangle is a type of triangle where all three angles are less than 90 degrees An acute triangle is a type of triangle...

John Rhodes
July 7, 2023
Geometry

The Mathematics Behind the 3-4-5 Triangle: Side Lengths, Angles, and Trigonometric Ratios

3-4-5 triangle A 3-4-5 triangle is a special type of right triangle with side lengths in the ratio of 3:4:5 A 3-4-5 triangle is a special type...

John Rhodes
July 7, 2023
Geometry

Understanding the Side Length Ratios in a 30-60-90 Triangle: Explained with Formulas and Summary

The side ration of a 30-60-90 triangle is … In a 30-60-90 triangle, the ratios of the side lengths are as follows: – The side opposite the...

John Rhodes
July 7, 2023
Geometry

The Side Ratio and Proportions of a 45-45-90 Triangle: Explained and Demonstrated

The side ratio of a 45-45-90 triangle is … The side ratio of a 45-45-90 triangle is 1:1:√2 The side ratio of a 45-45-90 triangle is 1:1:√2....

John Rhodes
July 7, 2023
Geometry

Determining If a Triangle is Obtuse: Using Side Lengths and the Pythagorean Theorem

Regarding side length, a triangle is an obtuse triangle if … A triangle is considered obtuse if one of its angles is greater than 90 degrees A...

John Rhodes
July 7, 2023
Geometry

How to Determine if a Triangle is Acute: The Side Length Approach and Triangle Inequality Theorem

Regarding side length, a triangle is is an acute triangle if … A triangle is considered acute if all three of its angles are acute angles, meaning...

John Rhodes
July 7, 2023
Geometry

Understanding the Pythagorean Theorem: Identifying right triangles and their characteristics

Regarding side length, a triangle is a right triangle if … A triangle is considered a right triangle if it satisfies the Pythagorean theorem, which states that...