2.Which of the following could be sidelengths of a right triangle? Circle all thatapply.A. 12. 16.

2.Which of the following could be side lengths of a right triangle? Circle all that
apply.
A. 12. 16. 20
B. 4.5, 6, 7,5
C. 5. 12. 13
D. 6. 12.14
E. 5.7.10

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This Post Has 10 Comments

  1. D 12,16,20

    Step-by-step explanation:

    The Pythagora's Theorem

    On a right triangle with side lengths of a,b, and c, being c the hypotenuse, of the longest side, it follows that:

    [tex]a^2+b^2=c^2[/tex]

    The set {a,b,c} is often called a Pythagorean Triple.

    Testing every option:

    A

    [tex]5^2+8^2=10^2[/tex]

    [tex]25+64 = 100[/tex]

    89 = 100

    Since equality is false, 5,8,10 are not the side lengths of a right triangle.

    B

    [tex]3^2+5^2=7^2[/tex]

    [tex]9+25 = 49[/tex]

    34 = 49

    Since equality is false, 3,5,7 are not the side lengths of a right triangle.

    C

    [tex]6^2+11^2=13^2[/tex]

    [tex]36+121 = 169[/tex]

    157 = 169

    Since equality is false, 6,11,13 are not the side lengths of a right triangle.

    D

    [tex]12^2+16^2=20^2[/tex]

    [tex]144+256 = 400[/tex]

    400 = 400

    Since equality is true, 12,16,20 could be the side lengths of a right triangle.

    D 12,16,20

  2. B. 1.8, 2.4, 3

    Step-by-step explanation:

    You can make use of pythagore to prove each of the given options and you'll see that B is the correct

    A) [tex]\sqrt{0.1^{2}+0.2^{2}}=0.22[/tex]

    B) [tex]\sqrt{1.8^{2}+2.4^{2}}=3[/tex]

    C)[tex]\sqrt{3^{2}+8^{2}}=8.54[/tex]

    D)[tex]\sqrt{5^{2}+7^{2}}=8.6[/tex]

  3. Choice D

    Step-by-step explanation:

    If you check each one plugging in your info into this you can get [tex]a^{2} +b^{2} =c^{2}[/tex] that 12² + 16² will equal 400 which is the same as 20².

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