Question

What is the value of x?
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x =

Answer 1

24^2 + 7^2 = 25^2 x = 25

Answer 2

Use Pythagorean Theorem:

$a^{2} + b^{2} = c^{2}$
$7^{2} + 24^{2} = c^{2}$
$7^{2} + 24^{2} = c^{2}$
$49 + 576 = c^{2}$
$625 = c^{2}$
$25 = c$

(You could also memorize that 7-24-25 is one of the "integer triples" that satisfies the Pythagorean Theorem. Other common ones are 3-4-5 and 5-12-13.)