Types of Triangles
A triangle that has a 90 degree angle
Right Triangle
The Triangle Inequality theorem states that the sum of the lengths of any two sides of a triangle is ________________ in relation to the length of the third side.
Greater than
List the angles in order from smallest to largest.
<A = 50 <B = 90 <C = 40
C, A, B
Riddle: I have all acute angles and only two equal sides. What am I?
I am Isosceles Triangle.
How many degrees do the angles in a triangle add up to?
180 degrees
A triangle where all three angles are congruent
Equiangular triangle
Can a triangle have side lengths of 4, 8, 15?
Yes
List the sides in order from smallest to largest.
<A = 50 <B = 90 <C = 40
AB, BC, AC
I have all acute angles and 3 equal sides. What am I?
I am Equilateral triangle.
Describe a scalene triangle
ALL sides are DIFFERENT LENGTHS
A triangle that has one angle that is greater than 90 degrees
Obtuse triangle
Find the range of values for side C if side A is 5cm and side B is 7cm.
What is 2< C <12?
List the sides in order from longest to shortest.
<A = 75 <B = 35 <C = 70
BC, AB, AC
Is it possible for a triangle to have two right angles? Explain why or why not.
This is impossible because if you have two right angles the triangle will be 180 degrees, but you need two add three degree angles.
This question is about a triangle: If angle A is 40 degrees and angle B is 60 degrees, what is the measurement of angle C?
80 degrees
This type of triangle has two sides that are congruent, and the angles opposite those sides are also congruent
Isosceles Triangle
Two sides of a triangle have sides 11 and 16. Find the range of values for x (the third side).
5<x<27
List the angles in order from smallest to largest.
AB = 7 BC = 13 AC = 8
C, B, A
Riddle: All angles are unequal and one of them can be obtuse or right with no equal sides. What am I?
I am Scalene triangle.
In an isosceles triangle, the vertex angle is 70 degrees, what is the measure of each base angle?
65 & 65
All sides and all angles are different in length and degrees
Scalene
Check whether it is possible to have a triangle with the given side lengths. 7, 9, 13
Yes
List the SIDES in order from longest to shortest.
<A = 20 <B = 65
AB, AC, BC
What other information can you gain from a diagram of a triangle that shows there are two congruent angles in the triangle?
The sides opposite the congruent angles are also congruent
Triangle FUR is an isosceles triangle. Angles F and R are base angles. If angle m<F = 70, find the measures of angles U and R.
m< U = 40
m< R = 70