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3 October, 03:09

Which of these sets could represent the side lengths of a right triangle?

Group of answer choices

{4, 8, 12}

{6, 8, 10}

{6, 8, 15}

{5, 7, 13}

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Question 31 pts

At the electronics store, television screens are sized by the lengths of their diagonals. The television that Mrs. Mallory wants to buy has a 25 inch diagonal. The width of the screen is 15 inches. What is the height of the screen?

Group of answer choices

10 inches

15 inches

20 inches

25 inches

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Question 41 pts

Determine the missing length. Round to the nearest foot.

Unit 3 test - 1. gif

Group of answer choices

115 feet

467 feet

472 feet

504 feet

+5
Answers (2)
  1. 3 October, 05:09
    0
    Answer: Question 41 is 467

    Step-by-step explanation:

    Pythagorean theorem
  2. 3 October, 05:31
    0
    for the first question:

    Which of these sets could represent the side lengths of a right triangle?

    {4, 8, 12}

    {6, 8, 10}

    {6, 8, 15}

    {5, 7, 13}

    you must use pythagorean theorem to find the answer: a²+b²=c²

    so in this case 4²+8² should equal 12²

    4²=16

    8²=64

    12²=144

    if 4²+8² should equal 12² then 16+64 should equal 144 but it does not

    16+64=80 therefore the first option is not a right triangle.

    {6, 8, 10}

    6²+8² should equal 10²

    6²=36

    8²=64

    10²=100

    36+64=100

    therefore ... this is the correct answer. i'll do the other options to prove that this is correct though.

    {6, 8, 15} we know this is wrong because we just found that 6²+8² is equal to 10²

    how could it equal both 10² AND 15²? it can't

    {5, 7, 13}

    5²=25

    7²=49

    13²=169

    25+49=74

    this is wrong

    {6, 8, 10} is the answer

    Question 31:

    At the electronics store, television screens are sized by the lengths of their diagonals. The television that Mrs. Mallory wants to buy has a 25 inch diagonal. The width of the screen is 15 inches. What is the height of the screen?

    If you were cut a rectangle in half from corner to corner, you would have two triangles. The hypotenuse is the diagonal line that you cut, which is 25in²

    and the width of the triangle is 15in²

    25²-15²=400

    25²=625

    15²=225

    625-225=400

    25²-15²=400

    square root of 400=20

    how do we know if 20 inches is correct? we add

    20²+15²=

    20²=400

    15²=225

    400+225=625

    20²+15²=25²! therefore the equation is correct!

    20 inches is the answer

    Question 41

    Determine the missing length. Round to the nearest foot.

    320²+340²=c²

    320²=102,400

    340²=115,600

    102,400 + 115,600 = 218,000

    square root of 218,000=466.9

    rounded to nearest foot is 467
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