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16 September, 18:29

Which triangle side lengths form a right triangle? Choose all that apply.

A. 5,6,7

B. 6,8,14

C. 8,15,17

D. 10,12,15

E. 15,20,25

F. 16,18,20

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  1. 16 September, 18:34
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    C and E are right triangles

    To figure this out, use the Pythagorean Theorem.

    a^2+b^2=c^2

    A. 5,6,7

    5^2+6^2=7^2

    25+36=49

    61=49

    Not a right triangle

    B. 6,8,14

    6^2+8^2=14^2

    36+64=196

    100=196

    Not a right triangle

    C. 8,15,17

    8^2+15^2=17^2

    64+225=289

    289=289

    Right triangle

    D. 10,12,15

    10^2+12^2=15^2

    100+144=225

    224=225

    Not a right triangle

    E. 15,20,25

    15^2+20^2=25^2

    225+400=625

    625=625

    Right triangle
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