Triangle Relationships

In ∆RST, R < T < S. Find all possible values of x.

Find BC if AD is an altitude of ∆ABC.

• 89

• 20

• 67

• 22

If FH is a median of △EFG, find the perimeter of △EFG.

• 33

• 140

• 5

• 112

OQ, NP, and RM are medians of ΔNOM. If NL = x + 4 and NP = 3x + 3, find x.

• .5

• 2

• no solution

• Angle BCF

• Angle CFB

Find the coordinates of the centroid of ∆ABC.

• (3, -5)

• (2, -5)

• (1, -5)

• 3.5, -3)

Find the coordinates of the circumcenter of

∆ABC. A(1, 2), B(7, 8), C(9, 2).

• (6, 4)

• (5, 3.5)

• (5,4)

• (7, 5)

The exterior angle of a triangle is greater than either _________ __________ angle.

• remote interior

• adjacent exterior

• related inverted

• bisected adjacent

What is the length of segment ZY ?

• cannot be determined

• 1.35

• 5.4

• 2.7

Two sides of a triangle are 7 and 12 inches. What is the range of the possible side length of the third side?

• 5 < x < 19

• 4 < x < 8.5

• 8< x < 11

• 4 < x < 20