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

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Presentation transcript:

TRIANGLES (There are three sides to every story!)

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

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

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

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

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

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

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

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

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

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

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

Fill in the blank:

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

Fill in the blank:

If this triangle is Equiangular:

Set up the equation needed to solve the for x:

Set up the equation needed to solve for x:

Find AB: (Use distance formula or Pythagorean theorem)

Find AC: (Use distance formula or Pythagorean theorem)

Find BC: (Use distance formula or Pythagorean theorem)

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

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 Subtraction Prop of Eq. 7. Def. of Complementary

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 The triangle pictured Substitution Subtraction Prop. Of Eq.

The End