Question

Classify each triangle by its side lengths. $\triangle E F H$

   Classify each triangle by its side lengths.
$\triangle E F H$

Geometry

Edward Burger, David… 1st Edition

Chapter 4, Problem 7

Instant Answer

Solved by Expert Ashley High

03/23/2020

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The side lengths are given as 8, 7.4, and 8. Show more…

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Classify each triangle by its side lengths. $\triangle E F H$

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Key Concepts

Triangle

A triangle is a polygon with three edges and three vertices, forming the simplest possible closed shape in Euclidean geometry.

Classification of Triangles by Side Lengths

Triangles can be classified based on the equality or inequality of their side lengths. This categorization divides triangles into different types according to the number of congruent sides they have.

Equilateral Triangle

An equilateral triangle is one in which all three sides are of equal length. This symmetry also results in all three interior angles being equal, each measuring 60 degrees.

Isosceles Triangle

An isosceles triangle has exactly two sides that are of equal length. The angles opposite these equal sides are also congruent, making this type of triangle symmetric along the altitude from the apex.

Scalene Triangle

A scalene triangle is characterized by having all sides of different lengths. Consequently, all three interior angles in a scalene triangle are also different, with no two angles being equal.

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