1 Answer

Valachio · Answer 1 · 2021-01-26T13:55:51+0000

Using Pythagoras theorem,

$\sf a^2 + b^2 = c^2$

Where
$\sf a$ and
$\sf b$ are the two legs of the triangle, and
$\sf c$ is the Hypotenuse.

Putting the given values:

$\sf 5^2 + b^2 = 8^2 \\ \longrightarrow \sf b^2 = 64 - 25 \\ \longrightarrow \sf b^2 = 39 \\ \longrightarrow \sf b = √(39)\:\:inches$

Hence, the length of the other leg is,

$\leadsto \underline{\boxed{\mathfrak{\pink{√(39)\:\:inches}}}}$

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