ne tool used to study refraction is a glass or acrylic prism. Two of the prisms more commonly used to study light refraction are a triangular prism with n equilateral triangle for its base and a triangular prism with a right triangle for its base. In this task, you will check whether the measurements found rove the two given prisms are right prisms and whether their bases are equilateral or right triangles. he prism said to have an equilateral triangle base has the measurements shown. 12 cm 12 cm Part A Are the bases of the prism equilateral triangles? Why or why not? Note: The bases of a triangular prism are triangles. BIŲ X² X₂ 15px AVA Characters used: 0/15000 Part B For this prism to be a right prism, all the lateral faces must be rectangles. Is enough information given to prove the lateral faces are rectangles? Why or why not? BIU X² X₂ 15px A HEF Characters used: 0/15000 12.9

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter3: Triangles
Section3.4: Basic Constructions Justified
Problem 38E
icon
Related questions
Question
100%
Pythagorean Theorem
One tool used to study refraction is a glass or acrylic prism. Two of the prisms more commonly used to study light refraction are a triangular prism with
an equilateral triangle for its base and a triangular prism with a right triangle for its base. In this task, you will check whether the measurements found
prove the two given prisms are right prisms and whether their bases are equilateral or right triangles.
The prism said to have an equilateral triangle base has the measurements shown.
12 cm
12 cm
Part A
Are the bases of the prism equilateral triangles? Why or why not? Note: The bases of a triangular prism are triangles.
BIUX² X₂ 15px
A
Characters used: 0/15000
Part B
For this prism to be a right prism, all the lateral faces must be rectangles. Is enough information given to prove the lateral faces are rectangles?
Why or why not?
BIY X² X₂ 15px
V
≡ ≡ A V
Characters used: 0/15000
12 cm
N
bh
Transcribed Image Text:Pythagorean Theorem One tool used to study refraction is a glass or acrylic prism. Two of the prisms more commonly used to study light refraction are a triangular prism with an equilateral triangle for its base and a triangular prism with a right triangle for its base. In this task, you will check whether the measurements found prove the two given prisms are right prisms and whether their bases are equilateral or right triangles. The prism said to have an equilateral triangle base has the measurements shown. 12 cm 12 cm Part A Are the bases of the prism equilateral triangles? Why or why not? Note: The bases of a triangular prism are triangles. BIUX² X₂ 15px A Characters used: 0/15000 Part B For this prism to be a right prism, all the lateral faces must be rectangles. Is enough information given to prove the lateral faces are rectangles? Why or why not? BIY X² X₂ 15px V ≡ ≡ A V Characters used: 0/15000 12 cm N bh
Part C
Without using a protractor, you can determine whether the angles are right angles by measuring the length of the diagonal and applying the
converse of the Pythagorean Theorem.
12 cm
5
12 cm
The length of both diagonals for each lateral side is 13 centimeters. From this, can you prove that the lateral sides are rectangles? Why or why not?
BIU X² X₂ 15px
E
Characters used: 0 / 15000
Part D
Some of the measurements of the triangular prism with a right triangle base are shown.
4 cm
4 cm
What is the length of the hypotenuse of the base?
BIU X² X₂ 15px
Characters used: 0 / 15000
Part E
Which lateral face has the largest area, the bottom one, left one, or diagonal one? What is its area?
5 cm
12 cm
4 cm.
4 cm
2
13 cm
12 cm
5 cm
N
>
田ㄣㄖ
Transcribed Image Text:Part C Without using a protractor, you can determine whether the angles are right angles by measuring the length of the diagonal and applying the converse of the Pythagorean Theorem. 12 cm 5 12 cm The length of both diagonals for each lateral side is 13 centimeters. From this, can you prove that the lateral sides are rectangles? Why or why not? BIU X² X₂ 15px E Characters used: 0 / 15000 Part D Some of the measurements of the triangular prism with a right triangle base are shown. 4 cm 4 cm What is the length of the hypotenuse of the base? BIU X² X₂ 15px Characters used: 0 / 15000 Part E Which lateral face has the largest area, the bottom one, left one, or diagonal one? What is its area? 5 cm 12 cm 4 cm. 4 cm 2 13 cm 12 cm 5 cm N > 田ㄣㄖ
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

Need help with Part C D and E please. Question submitted as an image

Part C
Without using a protractor, you can determine whether the angles are right angles by measuring the length of the diagonal and applying the
converse of the Pythagorean Theorem.
12 cm
5
12 cm
The length of both diagonals for each lateral side is 13 centimeters. From this, can you prove that the lateral sides are rectangles? Why or why not?
BIU X² X₂ 15px
E
Characters used: 0 / 15000
Part D
Some of the measurements of the triangular prism with a right triangle base are shown.
4 cm
4 cm
What is the length of the hypotenuse of the base?
BIU X² X₂ 15px
Characters used: 0 / 15000
Part E
Which lateral face has the largest area, the bottom one, left one, or diagonal one? What is its area?
5 cm
12 cm
4 cm.
4 cm
2
13 cm
12 cm
5 cm
N
>
田ㄣㄖ
Transcribed Image Text:Part C Without using a protractor, you can determine whether the angles are right angles by measuring the length of the diagonal and applying the converse of the Pythagorean Theorem. 12 cm 5 12 cm The length of both diagonals for each lateral side is 13 centimeters. From this, can you prove that the lateral sides are rectangles? Why or why not? BIU X² X₂ 15px E Characters used: 0 / 15000 Part D Some of the measurements of the triangular prism with a right triangle base are shown. 4 cm 4 cm What is the length of the hypotenuse of the base? BIU X² X₂ 15px Characters used: 0 / 15000 Part E Which lateral face has the largest area, the bottom one, left one, or diagonal one? What is its area? 5 cm 12 cm 4 cm. 4 cm 2 13 cm 12 cm 5 cm N > 田ㄣㄖ
Solution
Bartleby Expert
SEE SOLUTION
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning