Warm-Up Find the value of x. x + 25 3x - 3. GEOMETRY 4-8 Isosceles and Equilateral Triangles.
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Warm-Up • Find the value of x. x + 25 3x - 3
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Transcript of Warm-Up Find the value of x. x + 25 3x - 3. GEOMETRY 4-8 Isosceles and Equilateral Triangles.
Warm-Up• Find the value of x.
x + 25
3x - 3
GEOMETRY 4-8Isosceles and Equilateral Triangles
Parts of an Isosceles Triangle
Base: the side opposite the vertex angle
Base angle Base angle
Leg: a congruent side Leg: a congruent side
Vertex angle: formed by the two legs
Theorem
• Isosceles Triangle Theorem:• If two sides of a triangle are congruent, then the angles opposite those sides are congruent.
If
Then
Examples• Find the value of x.
55°
x + 4°1)
2)
Equilateral Triangles
• Equilateral Theorem:• All equilateral triangles are equiangular.• All equiangular triangles are equilateral.
Examples• Find the value of x. Find the value of y.