243,843 views
24 votes
24 votes
Find the length of the third side. If necessary, round to the nearest tenth.14.21Answer:Submit Answer

Find the length of the third side. If necessary, round to the nearest tenth.14.21Answer-example-1
User Alp
by
2.3k points

1 Answer

20 votes
20 votes

This problem is about a right triangle, which means we have to use the Pythagorean Theorem to find the missing leg.


c^2=a^2+b^2

Always keep in mind that c represents the hypotenuse (the longest side), while a and b are the legs. In this case, we have c = 21 and a = 14. Let's use these values and find b.


21^2=14^2+b^2

Now, we solve for b.


\begin{gathered} 441=196+b^2 \\ 441-196=b^2 \\ 245=b^2 \\ b=\sqrt[]{245} \\ b\approx15.7 \end{gathered}

Therefore, the missing leg is 15.7 units long.

User Kleinsenberg
by
3.0k points