- #1
Frank212
- 14
- 1
Homework Statement
Find x[/B]
Homework Equations
a+b+c=180[/B]
The Attempt at a Solution
ADB= 65+65+50=180
How do I find x in DBC?
What is the measure of angle CBD ?Frank212 said:Homework Statement
Find x[/B]
View attachment 104594
Homework Equations
a+b+c=180[/B]The Attempt at a Solution
ADB= 65+65+50=180
How do I find x in DBC?
SammyS said:What is the measure of angle CBD ?
SammyS said:What is the measure of angle CBD ?
Actually, I asked about angle CBD, ( ∠ CBD ), not triangle CBD ( Δ CBD ).Frank212 said:ADB=50+65+65=180
angle bisector -> angle on a line 180 degrees. 180-65=115
x= 180-115=65, 65/2=32.5
CBD=32.5+115+32.5
x=32.5
Frank212 said:CBD=32.5+115+32.5
An isosceles triangle is a triangle with two equal sides and two equal angles.
An angle bisector is a line or ray that divides an angle into two equal parts.
To construct an isosceles triangle with angle bisector, first draw a line segment with the desired length as the base of the triangle. Then, using a compass, draw two arcs from the endpoints of the base with the same radius, intersecting at a point above the base. Connect this point to the endpoints of the base to form the two equal sides of the triangle. Finally, draw a line from the point of intersection to the midpoint of the base, creating the angle bisector.
The angle bisector of an isosceles triangle divides the opposite side into two equal parts, creating two congruent triangles.
The measure of the angle bisector in an isosceles triangle is half the measure of the vertex angle.