Triangle Inequalities
Types of Triangles
Triangle Measurements
Points of Concurrency
100
True or False: It is possible to make a triangle with side lengths 3, 5, and 8.
False
100
Triangles that have all sides equal
What is equilateral triangles?
100
Two interior angle measures of a triangle are 74 degrees and 53 degrees. What is the measure of the third interior angle?
What is 53 degrees?
100
Which triangle center is formed by perpendicular bisectors?
Circumcenter
200
What is the order of the triangles sides from least to greatest? Use line segment naming notation for each side.
AC<AB<BC
200
Triangles that have two equal sides
What is isosceles triangles?
200
What is the measure of the midsegment?
DE = 16
200
What is the location of the orthocenter on a right triangle?
A) On the hypotenuse
B) Below the right angle, outside the triangle
C) On the vertex of the right angle
C) On the vertex of the right angle
300
What is the range of possible side lengths, x, of a triangle given side lengths of 14 and 17? Write your answer as an inequality.
3<x<31
300
Triangles that have no equal sides and one angle greater than 90 degrees.
What is obtuse scalene triangles?
300
Solve for x:
x=11
300
This triangle center is equidistant from the vertices.
Circumcenter
400
Can a triangle have sides with the given lengths?
f -3, 2f + 10, 5f - 6, when f = 5
Yes
400
Categorize the triangle by angles and sides.
Acute Scalene
400
Find the measure of angle QRH 
What is 80o
400
If FC = 63, what is the length of GC?
GC = 42
500
Is the following triangle acute, obtuse, or right?
13, 18, 24
Obtuse
500
This triangle has side lengths of 5, 5 and 5√2. Categorize by sides and angles.
Right Isosceles
500
Find the measure of BER.
Angle BER=48o
500
The following Triangle has an incenter at point N. Solve for x.
x = 6