BASE ANGLE Meaning and
Definition
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Base angle is a geometric term referring to the angles formed at the base of an isosceles triangle. In a isosceles triangle, which is a triangle having two equal sides, the base angles are the angles that are opposite the equal sides. Specifically, base angles are formed by one of the equal sides and the base of the triangle. Since the two equal sides of an isosceles triangle are identical in length, the base angles are also congruent, which means they have the same measurement. The sum of the two base angles in an isosceles triangle is always equal to the third angle, which is the vertex angle located at the top of the triangle.
The base angles play a significant role in determining properties and relationships within isosceles triangles. For instance, due to their congruence, the base angles can be used to prove that the two sides opposite them are also equal in length. Additionally, the base angles help in identifying whether a given triangle is an isosceles triangle or not, as well as in calculating the measures of the vertex angle or other angles within the triangle. Understanding and utilizing the concept of base angles is crucial in solving various geometric problems involving isosceles triangles and provides a foundation for further mathematical applications.
Common Misspellings for BASE ANGLE
- vase angle
- nase angle
- hase angle
- gase angle
- bzse angle
- bsse angle
- bwse angle
- bqse angle
- baae angle
- baze angle
- baxe angle
- bade angle
- baee angle
- bawe angle
- basw angle
- bass angle
- basd angle
- basr angle
- bas4 angle
- bas3 angle
Etymology of BASE ANGLE
The word "base angle" does not have a specific etymology as it is a combination of two commonly used English words in mathematics.
"Base" is derived from the Old French word "base" meaning "a foundation or bottom part". It entered the English language in the 14th century and is related to the Latin word "basis" meaning "foundation" or "bottom" as well.
"Angle" comes from the Latin word "angulus", which means "corner" or "angle". It has its roots in Greek, where "gonu", meaning "knee", evolved into "gōnia" and finally became "angulus" in Latin.
When combined, "base angle" refers to an angle formed by a base and one of the other sides of a geometric figure such as a triangle or trapezoid.
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