TechMathI - 3.4 - The Triangle Sum Theorem

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Bell Ringer 1 5x - 6 3x + 4 . Find measure of x. 2. Find measure of <1. 2 3 3. Find measure of <2. 4. Find measure of <3.

Transcript of TechMathI - 3.4 - The Triangle Sum Theorem

Page 1: TechMathI - 3.4 - The Triangle Sum Theorem

Bell Ringer

1

5x - 63x + 4

1. Find measure of x.

2. Find measure of <1.

2

3

3. Find measure of <2.

4. Find measure of <3.

Page 2: TechMathI - 3.4 - The Triangle Sum Theorem

Triangle- a triangle consists of three noncollinear points and the line segments connecting them

Equilateral - has three congruent sides

Isosceles- has two congruent sides

Scalene- has no congruent sides

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Triangles

Acute Triangle- has three acute angles

Equiangular Triangle- has three congruent angles

Right Triangle- has exactly one right angle

Obtuse Triangle- has one obtuse angle

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Leg Leg

BaseBase Angle Base Angle

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- the sum of the measures of a triangle is 180°

- the measure of the exterior angle is equal to the sum of the two remote interior angles

142

3

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110°?

60°

Example 1:

Page 7: TechMathI - 3.4 - The Triangle Sum Theorem

155°

95°

Example 2:

2

3

1. Find <1.

2. Find <2.

3. Find <3.

Page 8: TechMathI - 3.4 - The Triangle Sum Theorem

38°

x

y z

48°

You try!

Find x, y, and z.