The triangle AED and triangle ABC are congruent by to each other by SSS congruency.
Further Explanation:
The congruent triangles are those in which all the corresponding angles and the sides are equal.
There are many congruency rules and are as follows.
1. Angle Angle Side (AAS)
2. Angle Side Angle (ASA)
3. Side Side Side (SSS)
4. Side Angle Side (SAS)
Given:
The side BC is equal to side DE.
The side AC is equal to side AD.
[tex]\angle {\text{BAC}}=\angle {\text{DAE}}[/tex]
Explanation:
The side AB is of 7 units.
The side AE is of 7 units.
Therefore, the side AB is equal to side AE.
The sum of all the angle of a triangle is [tex]{180^ \circ }[/tex].
Consider the triangle ABC and triangle AED.
AB = AE
AC = AD
BC = DE
Therefore, the triangle ABC is congruent to triangle AED by SSS congruency.
The triangle AED and triangle ABC are congruent by to each other by SSS congruency.
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Answer details:
Grade: High School
Subject: Mathematics
Chapter: Triangle
Keywords: congruent, angles, triangle, ASA, angle side angle, congruent sides, acute angle, side, corresponding angles, congruent triangle.
