Answer:
a=16
Explanation:
Given that there is a right angle triangle. whose sides are 20, 12 and "a".
Using that information we have to find that value of "a".
Since it is a right angle triangle hence apply Pythagorean formula:
![20^2=12^2+a^2](https://img.qammunity.org/2019/formulas/mathematics/high-school/3t5m468kebnvwwtxbw1wosrnu3foe4oawc.png)
![400=144+a^2](https://img.qammunity.org/2019/formulas/mathematics/high-school/1gby5u8fv2rxbkajw935oi1tibws7bau8k.png)
![400-144=144+a^2-144](https://img.qammunity.org/2019/formulas/mathematics/high-school/2ok34wtt9p83uzn6ffzv5xhmfvuanl81s2.png)
![256=a^2](https://img.qammunity.org/2019/formulas/mathematics/high-school/abh9ipz1fetl9h2g7irmin6u4knlsz10zh.png)
Take square root of both sides
![16=a](https://img.qammunity.org/2019/formulas/mathematics/high-school/lxqsakbsbfp59apxbae1v5srehwlfvb9jq.png)
Hence final answer is a=16