Answer:
The length of the other leg in the simplest radical form is
![14√(3)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/8crgs5hei74mcfrz1zuuzduv8a1ezqu97g.png)
Explanation:
Let's assume
hypotenuse of a right triangle is 'c'
one of the leg is 'a'
other leg is 'b'
we are given
The hypotenuse of a right triangle is 28 units
so,
![c=28](https://img.qammunity.org/2020/formulas/mathematics/middle-school/3sygfuapdsa3fj0rgtk9nsxbshxqm1hf0l.png)
the length of one of the legs is 14 units
so,
![a=14](https://img.qammunity.org/2020/formulas/mathematics/middle-school/tiho0ktheiy77m7ge6aqqmpvmwfpcd66zb.png)
now, we can use Pythagoras theorem
![c^2=a^2+b^2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/xsm8kchig3pfblxfo10xa15jy2ias2waqf.png)
now, we can plug values
![28^2=14^2+b^2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/6axrmsi7g5yg2h55akq3krn1e57d9bkohp.png)
now, we can solve for b
![b^2=588](https://img.qammunity.org/2020/formulas/mathematics/middle-school/2aylz0c0b566g5kfscxuqptnnfzqnxpi74.png)
![b=√(588)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/w1411je45gy0w2uwau8i7lizgd1pjhldmf.png)
![b=14√(3)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/zt4yngwmd3n2g48eajgj78qg0zhmjbj6jz.png)