Answer:
D. 39
Step-by-step explanation:
you use the pythagorean theorem which is
![a^(2)+b^(2) = c^(2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/961k01wug6kvltsme4nvea40aamuyhh4a1.png)
if you look at the triangle we can see that we have to find the length of the hypotenuse (BC).
so your equation will look like this:
![15^(2) + 36^(2) =c^(2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/wtqj3v6jlbiwc9ynb22jy3qdcghpzlgzh3.png)
Solving For The Length Of BC
1.
(solve for
)
2. C= 225+1296 (add)
3. C= 1521 (find the square root of 1521)
4.
![√(1521) = 39](https://img.qammunity.org/2022/formulas/mathematics/high-school/11qpluo2npx3yvk5am98n8f1z09p1s8ouh.png)
Therefore, 39 is your answer
Hope this helps!