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Alexxx [7]
3 years ago
14

An artisan wants to split his equilateral triangular-shaped piece of glass into four equally sized pieces as part of a window de

sign. Explain to him, with a diagram, how to design an inscribed triangle, and show him that the pieces all have equal area.
Mathematics
1 answer:
jeka943 years ago
8 0

The triangle QPR having inscribed triangle STU will allow the artisan to divided his glass piece into four equal triangular pieces.

In order to divide an equilateral triangle into four equal triangular glass pieces, the artisan must;

  • Take S as the mid-point on PA, T as the mid-point on PR, and U as the mid-point on QR. Thus, S, T, and U are the three mid-points on each side of the equilateral triangle QPR.
  • Now, by joining these mid-points S, T, and U, four equal triangles are made(as shown in the figure).

Since the triangle is equilateral,

PQ = QR = RP

Mid-point divides the lines into equal parts. So,

PS = SQ = QU = UR = RT = TP

Thus, it is proved that

ΔPST = ΔSTU = ΔTUR = ΔQSU

Learn more about 'Equilateral Triangle' here:

brainly.com/question/2855144

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nikdorinn [45]

Answer:

I think that it should be

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Step-by-step explanation:

Here,

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we know that,

{a}^{3}  +  {b}^{3}  +  {c}^{3}   - 3abc = (a + b + c)(  {a}^{2}  +  {b}^{2}  +  {c}^{2}  - ab - bc - ca)

Here , A+B+C = 0

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now we put the values

{(a - b)}^{3}  +  {(b - c)}^{3}  +  {(c - a)}^{3}  = 3(a - b)(b - c)(c - a)

I am done .

4 0
4 years ago
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Answer

Given: Sorry the images are at the bottom.

To find:

Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).

Part B: Which function has a greater y-intercept? Justify your answer.

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Convert the function in slope intercept form and calculate the slope.

Slope intercept form:

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2) Slope and y-intercept of g(x):

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Hope it helps you.

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vampirchik [111]

Answer:

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Answer:

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