AnswersRMA FL-1206310-Geometry Semester 2Triangle Classification Theorems

Triangle Classification Theorems Answers

10 verified answers1 views
7

Which best explains whether a triangle with side lengths 5 cm, 13 cm, and 12 cm is a right triangle?

A
The triangle is a right triangle because 52 + 122 = 132.
B
The triangle is a right triangle because 5 + 13 > 12.
C
The triangle is not a right triangle because 52 + 132 > 122.
D
The triangle is not a right triangle because 5 + 12 > 13.
10

Which best explains whether a triangle with side lengths 2 in., 5 in., and 4 in. is an acute triangle?

A
The triangle is acute because 22 + 52 > 42.
B
The triangle is acute because 2 + 4 > 5.
C
The triangle is not acute because 22 + 42 < 52.
D
The triangle is not acute because 22 < 42 + 52.
11

Two sides of an obtuse triangle measure 12 inches and 14 inches. The longest side measures 14 inches.What is the greatest possible whole-number length of the unknown side?

A
2 inches
B
3 inches
C
7 inches
D
9 inches
12

The shorter sides of an acute triangle are x cm and 2x cm. The longest side of the triangle is 15 cm.What is the smallest possible whole-number value of x?

A
6
B
7
C
8
D
9
13

The longest side of an acute triangle measures 30 inches. The two remaining sides are congruent, but their length is unknown.What is the smallest possible perimeter of the triangle, rounded to the nearest tenth?

A
41.0 in.
B
51.2 in.
C
72.4 in.
D
81.2 in.
14

The longest side of an acute isosceles triangle is 12 centimeters. Rounded to the nearest tenth, what is the smallest possible length of one of the two congruent sides?

A
6.0 cm
B
6.1 cm
C
8.4 cm
D
8.5 cm

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