Question

What is the value of x?
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x =

Answer 1

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.)

Answer 2

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