Question

25 mm
24 mm
a
what is the length of the missing leg? if necessary, round to the nearest tenth.
a = millimeters
submit

Explanation:

Step1: Apply Pythagorean theorem

For a right triangle with hypotenuse $c$ and legs $a,b$, $c^2 = a^2 + b^2$. Here, $c=25$ mm, $b=24$ mm, so rearrange to solve for $a$:
$a = \sqrt{c^2 - b^2}$

Step2: Substitute values into formula

$a = \sqrt{25^2 - 24^2}$

Step3: Calculate squares and difference

$25^2=625$, $24^2=576$, so $625-576=49$

Step4: Compute square root

$a = \sqrt{49}=7$

Answer:

7 millimeters