The length of AB is 12 units
Further Explanation;
Triangle
- A triangle is a three sided figure.
- It has three vertices, three angles and three edges.
- The angles in a triangle add up to 180 degrees.
Types of triangles
Right triangle
- A right triangle is a type of triangle whose one of the angles is 90 degrees.
Isosceles triangle
- This is a type of triangle whose two sides are equal (congruent sides)
- Two of the angles in an isosceles triangle are equal (congruent angles), these are the base angles.
Equilateral triangle
- It is a type of triangle whose sides are equal.
- All the angles of an equilateral triangle are also equal. Therefore, each of the angle of a triangle is 60 degrees since they all add up to 180 degrees.
Scalene triangle
- The scalene triangle is a triangle that has no congruent sides.
- In other words, the sides of a scalene triangle have different lengths.
Acute triangle
- It is a triangle that has three acute angles
Obtuse triangle
- It is a triangle that has an obtuse angle (an angle greater than 90 degrees but less than 180 degrees).
In the above question.
The triangle is an isosceles triangle since the base angles, ∠BAC and ∠BCA are equal.
Therefore;
Since, ∠BAC = ∠BCA
Then;
Side BA = side BC
Hence
[tex]4x=2x+6[/tex]
Combining the like terms
[tex]4x-2x = 6[/tex]
[tex]2x=6\\x=6[/tex]
Therefore;
The length of AB = 4x
= 12 cm
Keywords: Triangle, types of triangle, isosceles triangle, right triangle, equilateral triangle, scalene triangle, obtuse triangle, acute triangle.
Learn more about:
- Isosceles triangle: https://brainly.com/question/8974924
- Properties of isosceles triangle: https://brainly.com/question/8974924
Level: Middle school
Subject: Mathematics
Topic: Properties of a triangle
