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TRIANGLES (There are three sides to every story!).

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Presentation on theme: "TRIANGLES (There are three sides to every story!)."— Presentation transcript:

1 TRIANGLES (There are three sides to every story!)

2 What kind of triangle has sides of… 4 in., 6 in. and 3 in.? SCALENE

3 What kind of triangle has Angles of… 90 o, 70 o, 20 o.? 90 o, 70 o, 20 o.? RIGHT

4 What kind of triangle has sides of… 5 in., 5 in. and 3 in.? ISOSCELES

5 What kind of triangle has Angles of… 50 o, 60 o, 70 o.? 50 o, 60 o, 70 o.? ACUTE

6 What kind of triangle has Angles of… 60 o, 60 o, 60 o.? 60 o, 60 o, 60 o.? EQUIANGULAR

7 What kind of triangle has Angles of… 150 o, 10 o, 20 o.? 150 o, 10 o, 20 o.? OBTUSE

8 What kind of triangle has sides of… 5 in., 5 in. and 5 in.? EQUILATERAL

9 What kind of triangle has Angles of… 150 o, 160 o, 170 o.? 150 o, 160 o, 170 o.? NO SUCH TRIANGLE

10 What do we call the congruent sides of an Isosceles Triangle? The LEGS

11 If  ABC has a right angle at B, which side is the Hypotenuse?

12 Which triangle is Impossible? EQUIANGULAR OBTUSE SCALENE ISOSCELES RIGHT EQUILATERAL ALL THREE!!

13 Fill in the blank:

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17 When referring to angle 5, what do we call ? REMOTE INTERIOR ANGLES

18 Fill in the blank:

19 If this triangle is Equiangular:

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21 Set up the equation needed to solve the for x:

22 Set up the equation needed to solve for x:

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25 Find AB: (Use distance formula or Pythagorean theorem)

26 Find AC: (Use distance formula or Pythagorean theorem)

27 Find BC: (Use distance formula or Pythagorean theorem)

28 Recall: AB=5 AC=5 BC= 1.41 What kind of triangle is it? ISOSCELES

29 PROVE: The acute angles of a right triangle are complementary. 1.Given 2.Definition of Right Triangle 3. Angle Sum Theorem 4.Def. of Right Angle 5.Substitution 6. 7. Subtraction Prop of Eq. 7. Def. of Complementary

30 PROVE: The measure of an exterior angle of a triangle is equal to the sum of its remote interior angles. GIVEN: The triangle pictured PROVE: 1.Given 2.Angle Sum Theorem 3.Supplement Theorem 4. 5. 1.The triangle pictured Substitution Subtraction Prop. Of Eq.

31 The End


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