Question

The radius $r$ of a circle inscribed in any triangle whose sides are $a, b$, and $c$ is given by $$ r=[(s-a)(s-b)(s-c) / s]^{1 / 2} $$ where $s$ is an abbreviation for $(a+b+c) / 2 .$ Check this formula for dimensional consistency.

          The radius $r$ of a circle inscribed in any triangle whose sides are $a, b$, and $c$ is given by
$$
r=[(s-a)(s-b)(s-c) / s]^{1 / 2}
$$
where $s$ is an abbreviation for $(a+b+c) / 2 .$ Check this formula for dimensional consistency.

Added by Melanie V.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Krishna G

02/15/2022

Step 1

The radius $r$ of a circle is a length, so its dimension is L (length). Show more…

Show all steps

Thanks for your feedback!

The radius $r$ of a circle inscribed in any triangle whose sides are $a, b$, and $c$ is given by $$ r=[(s-a)(s-b)(s-c) / s]^{1 / 2} $$ where $s$ is an abbreviation for $(a+b+c) / 2 .$ Check this formula for dimensional consistency.