Answer:
Missing side: 6.5 cm
Perimeter: 15 cm
Step-by-step explanation:
The Pythagorean Theorem says that:
So, we can calculate the missing side of the triangle as:
![c=\sqrt[]{6^2+2.5^2}](https://img.qammunity.org/2023/formulas/mathematics/college/u1v8oxccdakgvodcarsqtyi84xe95dudcb.png)
Then, solving for c, we get:
![\begin{gathered} c=\sqrt[]{36+6.25} \\ c=\sqrt[]{42.25} \\ c=6.5 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/27nnpn3zdjjs17h736ddxzodc5e0bsfg6i.png)
Therefore, the perimeter is the sum of the length of the side and it is equal to:
Perimeter = 6 cm + 2.5 cm + 6.5 cm
Perimeter = 15 cm
So, the missing side has 6.5 cm and the perimeter is 15 cm