AnswersPA-Geometry B-CRSpecial Right Triangles

Special Right Triangles Answers

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Consider triangle GHJ.

Question illustration
A
5 units
B
units
Option B
C
10 units
D
units
Option D
2
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Which statements regarding triangle DEF are correct? Select three options.

A
EF is the longest side of △DEF.
B
DF = 6 cm
C
DE = cm
Option C
D
DF = cm
Option D
E
DE = cm
Option E
3

Consider the incomplete paragraph proof.Given: Isosceles right triangle XYZ (45°–45°–90° triangle)Prove: In a 45°–45°–90° triangle, the hypotenuse is times the length of each leg.

Question illustration
A
Substitute values for a and c into the original Pythagorean theorem equation.
B
Divide both sides of the equation by two, then determine the principal square root of both sides of the equation.
C
Determine the principal square root of both sides of the equation.
D
Divide both sides of the equation by 2.
4

Which triangle is a 30°-60°-90° triangle?

A
A triangle has side lengths of 5, 10, and 5 StartRoot 3 EndRoot.
Option A
B
A triangle has side lengths of 5, 15, and 5 StartRoot 3 EndRoot.
Option B
C
A triangle has side lengths of 5, 10, and 10 StartRoot 3 EndRoot.
Option C
D
A triangle has side lengths of 10, 15, and 5 StartRoot 3 EndRoot
Option D
5

Consider triangle QRS. The legs each have a length of 10 units.

Question illustration
A
5 units
B
units
Option B
C
10 units
D
units
Option D
6

Consider triangle DEF. The legs have a length of 36 units each.

Question illustration
A
18 units
B
units
Option B
C
36 units
D
units
Option D
7

Triangle P Q R is shown. Angle Q P R is a right angle. The length of Q P is 8 StartRoot 3 EndRoot and the length of P R is 8.

Question illustration
A
8 units
B
units
Option B
C
16 units
D
units
Option D
8

Each leg of a 45°-45°-90° triangle measures 12 cm.

Question illustration
A
6 cm
B
cm
Option B
C
12 cm
D
cm
Option D
9

Line segment YV of rectangle YVWX measures 24 units.

Question illustration
A
8 units
B
units
Option B
C
12 units
D
units
Option D
10

The hypotenuse of a 45°-45°-90° triangle measures 128 cm.

Question illustration
A
64 cm
B
cm
Option B
C
128 cm
D
cm
Option D

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Special Right Triangles Answers — PA-Geometry…