the measure of C if a=6 and b=9. [tex]3 \sqrt{5} [/tex] [tex]9 \sqrt{5} [/tex] [tex]3 \sqrt{13} [/tex] [tex]

Question

the measure of C if a=6 and b=9.

[tex]3 \sqrt{5} [/tex]
[tex]9 \sqrt{5} [/tex]
[tex]3 \sqrt{13} [/tex]
[tex]5 \sqrt{3} [/tex]
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Ivy 3 months 2022-02-05T13:36:19+00:00 1 Answer 0 views 0

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  1. Ivy
    0
    2022-02-05T13:37:58+00:00
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    Answer:

    [tex]c=3\sqrt{13}[/tex]

    Step-by-step explanation:

    Pythagorean Theorem: In the right triangle the square of longer side is equal to the sum of the squares of other sides.

    [tex]c^2=a^2+b^2\\\\c^2=6^2+9^2\\\\c^2=36+81\\\\c^2=117\\\\c^2=3\times 3\times 13\\\\c=\sqrt{3\times 3\times 13}\\\\c=3\sqrt{13}[/tex]

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