Answer: Height is 5 units.
Explanation:
Alright, lets get started.
The area of the triangle is
![A=(1)/(2) * b * h](https://img.qammunity.org/2020/formulas/mathematics/middle-school/52cvv2w0tsbggqwm2527tpmqmk2qg8icdp.png)
The area is given as 30
The base is given as 12
Plugging the values in formula
![30=(1)/(2) * 12* h](https://img.qammunity.org/2020/formulas/mathematics/middle-school/668p9p2b97ydjruio4r0g9wum545qxlrde.png)
![30=6* h](https://img.qammunity.org/2020/formulas/mathematics/middle-school/mqsskv1n3kmgk0j3lkdh9656bs2yi8qxaa.png)
Dividing 6 in both sides
![(30)/(6)=(6* h)/(6)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ip3b6nnyydb60aafigfwkbh66l315bce8s.png)
![5=h](https://img.qammunity.org/2020/formulas/mathematics/middle-school/z5pwzesrdxgemhsa12j2ch8qe8gnusghf0.png)
![h=5](https://img.qammunity.org/2020/formulas/mathematics/college/wylxm03u9w0zq11vo3hajcijrntlzenwds.png)
Hence the height of the triangle is 5 units.........Answer