AnswersIntegrated Math II FullUnknown Leg Lengths in Right Triangles

Unknown Leg Lengths in Right Triangles — Test Answers

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1
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Which expression can be used to find the area of the rectangle shown on the coordinate plane?

Question illustration
A
6 times 7
Option A
B
7 times 7
Option B
C
8 times 7
Option C
D
8 times 8
Option D
2
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Ryan and Scott are each studying a square pyramid.Which statement best describes the two pyramids?

Question illustration
A
Both pyramids have the same total surface area, but the areas of the lateral faces and the areas of the bases are different in each pyramid.
B
Both pyramids have the same total surface area, and the areas of the lateral faces and the areas of the bases are the same in each pyramid.
C
Ryan’s pyramid has a greater surface area.
D
Scott’s pyramid has a greater surface area.
3

Which could be the area of one face of the rectangular prism? Select three options.

Question illustration
A
20 centimeters squared
Option A
B
24 centimeters squared
Option B
C
44 centimeters squared
Option C
D
48 centimeters squared
Option D
E
66 centimeters squared
Option E
4

Which expressions can be used to compute the approximate area of triangle XYZ? Check all that apply.

Question illustration
A
One-half times 22 times 23.1
Option A
B
One-half times 15.9 times 23.1
Option B
C
One-half times 15.9 times 22
Option C
D
One-half times 22 times 31.9
Option D
E
One-half ties 15.9 times 31.9
Option E
F
One-half times 23.1 times 31.9
Option F
5

Which statement describes whether a right triangle can be formed using one side length from each of these squares?

Question illustration
A
Yes, a right triangle can be formed because the sum of the areas of the two smaller squares does not equal the area of the largest square.
B
Yes, a right triangle can be formed because the sum of the areas of the two smaller squares equals the area of the largest square.
C
No, a right triangle cannot be formed because the sum of the areas of the two smaller squares does not equal the area of the largest square.
D
No, a right triangle cannot be formed because the sum of the areas of the two smaller squares equals the area of the largest square.
6

What are the possible dimensions of a rectangle with an area of 40 square units? Check all that apply.

A
Base: 8 unitsHeight: 5 units
B
Base: 8 unitsHeight: 6 units
C
Base: 4 unitsHeight: 10 units
D
Base: 4 unitsHeight: 8 units
E
Base: 20 unitsHeight: 2 units
F
Base: 2 unitsHeight: 40 units
7

Which is a perfect square?

A
121
B
140
C
168
D
195
8

Denesh is creating a triangular flower bed using three pieces of wood. The two shorter pieces of wood have lengths of 7 feet and 24 feet. How long, in feet, should the third piece of wood be for Denesh to create a right triangle?

Answer not available
9

Soon-Yi’s house has a hexagonal window made up of six identical equilateral triangles as pictured below.Which expression is equivalent to the area of one triangular section?

Question illustration
A
One-half times 7 times 8
Option A
B
One-half times 14 times 16
Option B
C
One-sixth times 14 times 16
Option C
D
One-half times 7 times 7
Option D
10

A rectangular prism has a length of 8 feet, a width of 3 feet, and a height of 5 feet. What is the surface area of the rectangular prism?

A
64 square feet
B
79 square feet
C
120 square feet
D
158 square feet
11

Which statements are true about the unknown side length in this right triangle? Check all that apply.

Question illustration
A
The equation can be used to find the unknown length.
Option A
B
The equation can be used to find the unknown length.
Option B
C
The equation can be used to find the unknown length.
Option C
D
The length of the unknown leg is meters.
Option D
E
The length of the unknown leg is 7 meters.
12

Tamika builds a wooden skateboard ramp. The ramp measures 63 centimeters, and the length of its horizontal base is 60 centimeters, as shown.In centimeters, what is the approximate height of the ramp? Round the answer to the nearest tenth of a centimeter.

Question illustration
Answer not available
13

What is the length of the unknown leg in the right triangle?

Question illustration
A
8 cm
B
16 cm
C
20 cm
D
40 cm
14

Regina’s work to find the surface area of a square pyramid from its net is shown below. Surface area of the pyramid = square inchesWhat error did Regina make?

Question illustration
A
She should have used to represent the area of a single triangle.
Option A
B
She should have multiplied all the terms inside the parentheses by 4 when she simplified.
C
She should have used to represent the area of a single triangle.
Option C
D
She should have used a different collection of shapes as the net of the pyramid.
15

Holly and Tamar completed the work in the table to determine if a triangle with side lengths of 40, 42, and 58 is a right triangle. Holly’s WorkTamar’s WorkThe triangle is not a right triangle. The triangle is a right triangle. Which best describes the accuracy of their solutions?

Question illustration
A
Holly is correct.
B
Tamar is correct.
C
Neither Holly nor Tamar is correct.
D
Both Holly and Tamar are correct.

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