The numbers 7, 24, and c are a Pythagorean triple. What is the value of c? A. 31 B. 24 C. 25 D. 27

Mathematics

1 answer:

zavuch27 [327]3 years ago

5 0

$7;\ 24;\ c-Pythagorean\ triple,\ then\\\\c^2=7^2+24^2\\\\c^2=49+576\\\\c^2=625\\\\c=\sqrt{625}\\\\c=25\\\\Answer:C$

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Step-by-step explanation:

Split up this Isosceles, Right Triangle into two congruent smaller right triangles. The reflexive side [the line that splits them apart] is 6 units, and both legs are 8 units, leaving the hypotenuses to AUTOMATICALLY be 10 units, according to the Pythagorean Theorem:

$\displaystyle a^2 + b^2 = c^2 \\ \\ 6^2 + 8^2 = 10^2 \\ \\ 36 + 64 = 100 \\ \\ 100 = 100$