AnswersMISD-Geometry-RECOVERY-B-2019-2020Exploring the Pythagorean Theorem

Special Right Triangles Answers

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Two sides of an acute triangle measure 5 inches and 8 inches. The length of the longest side is unknown.What is the greatest possible whole-number length of the unknown side?

A
8 inches
B
9 inches
C
12 inches
D
13 inches
2
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Which set of numbers can represent the side lengths, in inches, of an acute triangle?

A
4, 5, 7
B
5, 7, 8
C
6, 7, 10
D
7, 9, 12
3

Which set of numbers can represent the side lengths, in centimeters, of a right triangle?

A
8, 12, 15
B
10, 24, 26
C
12, 20, 25
D
15, 18, 20
4

The longest side of an acute isosceles triangle is 8 centimeters. Rounded to the nearest tenth, what is the smallest possible length of one of the two congruent sides?

A
4.0 cm
B
4.1 cm
C
5.6 cm
D
5.7 cm
5

Which classification best represents a triangle with side lengths 6 cm, 10 cm, and 12 cm?

A
acute, because 62 + 102 < 122
B
acute, because 6 + 10 > 12
C
obtuse, because 62 + 102 < 122
D
obtuse, because 6 + 10 > 12
6

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.
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.
8

A right triangle has side lengths 4 units, 5 units, and x units. It is unknown if the missing length is the longest or shortest side.Rounded to the nearest tenth, what is the difference between the possible values of x?

A
3.0 units
B
3.4 units
C
6.4 units
D
8.0 units
9

An acute triangle has sides measuring 10 cm and 16 cm. The length of the third side is unknown.Which best describes the range of possible values for the third side of the triangle?

A
x 18.9
B
12.5 < x < 18.9
C
x 26
D
6 < x < 26
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.

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