Mathematics, 28.05.2021 01:00 jonathansheehan26

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.

Part A
Are the bases of the prism equilateral triangles? Why or why not? Note: The bases of a triangular prism are triangles.

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?

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.

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?

Part D
Some of the measurements of the triangular prism with a right triangle base are shown.

What is the length of the hypotenuse of the base?

Part E
Which lateral face has the largest area, the bottom one, left one, or diagonal one? What is its area?

$One tool used to study refraction is a glass or acrylic prism. Two of the prisms more commonly used$
$One tool used to study refraction is a glass or acrylic prism. Two of the prisms more commonly used$
$One tool used to study refraction is a glass or acrylic prism. Two of the prisms more commonly used$
$One tool used to study refraction is a glass or acrylic prism. Two of the prisms more commonly used$

Answers: 3

Show answers

Another question on Mathematics

Mathematics, 21.06.2019 18:00

The brain volumes (cm cubed) of 50 brains vary from a low of 904 cm cubed to a high of 1488 cm cubed. use the range rule of thumb to estimate the standard deviation s and compare the result to the exact standard deviation of 175.5 cm cubed, assuming the estimate is accurate if it is within 15 cm cubed

Answers: 2

Answer

Mathematics, 22.06.2019 00:00

Fill in the blank 1. a rhombus is a rectangle a) always b) sometimes c) never 2. a square is a quadrilateral a) always b) sometimes c) never 3. a trapezoid is a kite a) always b) sometimes c) never 4. a quadrilateral is a kite a) always b) sometimes c) never 5. a square is a rhombus a) always b) sometimes c) never 6. a parallelogram is a rectangle a) always b) sometimes c) never

Answers: 1

Answer

Mathematics, 22.06.2019 00:20

G. how many different 6-letter arrangements can be formed using the letters in the word absent, if each letter is used only once? a. 6 b. 36 c. 720 d. 46,656

Answers: 1

Answer

Mathematics, 22.06.2019 02:00

The resumâ´es of two male applicants for a college teaching position in chemistry are placed in the same file as the resumâ´es of two female applicants. two positions become available, and the first, at the rank of assistant professor, is filled by selecting one of the four applicants at random. the second position, at the rank of instructor, is then filled by selecting at random one of the remaining three applicants. using the notation m2f1, for example, to denote the simple event that the first position is filled by the second male applicant and the second position is then filled by the first female applicant, (a) list the elements of a sample space s; (b) list the elements of s corresponding to event a that the position of assistant professor is filled by a male applicant; (c) list the elements of s corresponding to event b that exactly one of the two positions is filled by a male applicant; (d) list the elements of s corresponding to event c that neither position is filled by a male applicant; (e) list the elements of s corresponding to the event a â© b; (f) list the elements of s corresponding to the event a âş c; (g) construct a venn diagram to illustrate the intersections and unions of the events a, b, and c.

Answers: 3

Answer

You know the right answer?

One tool used to study refraction is a glass or acrylic prism. Two of the prisms more commonly used...

Questions