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Triangle Inequality
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Q. It is called the HINGE theorem, because...
A
Q. Compare QT and ST. (A) QT<ST ; (B) QT=ST ; (C) QT>ST ; (D) QT ​ ≅ ST
A
Q. Which set of side lengths will make a triangle? (A) 6, 8, 15 ; (B) 6,8,13 ; (C) 7, 7, 14 ; (D) 2, 6, 9
B
Does a triangle with these side lengths exist? 15.8 12.4, 9.2
Yes, only one
Q. The Triangle Inequality Theorem states the sum of the lengths of any two sides of a triangle is ________________ the length of the third side.
greater than
Q. Does a triangle with these side lengths exist? 20, 10, 9
No
Does a triangle with these side lengths exist? 4, 4, 4
Yes
Does a triangle with these side lengths exist? 8, 10, 20
No
Q. Identify the smallest angle.
∠L
Q. Identify the smallest angle.
∠A
Q. Identify the longest side measure.
AC
Q. Identify the shortest side measure.
QM
Does a triangle with these side lengths exist? 15, 12, 9
Yes
Q. Solve for x.
4
Q. Set up an equation to find x.
52 + 5x + 16 = 10x + 8
Q. Find the indicated angle measure (What is ?)
70°
Q. Find the indicated angle measure. (What is ?)
107°
Q. Find the indicated angle. (What is ?)
91°
Q. What is the measure of x?
111°
Q. Which two angles are the remote interior angles to Angle A?
Angle C and Angle D


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