Answer:
8.8 m
Step-by-step explanation:
We are given that a right triangle
Two sides are perpendicular
Let a=3.70m
b=8.00m
We have to find the length of third side of triangle.
![c^2=a^2+b^2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/byhrr90olo1xo4n215kg0bc367cjwlvx2c.png)
By using Pythagoras theorem
![(Hypotenuse)^2=(Base)^2+(Perpendicular\;side)^2](https://img.qammunity.org/2021/formulas/physics/college/iynyodx7qg3tq98wx27qcwmjvjgkku8udy.png)
Substitute the values then we get
![c^2=(3.7)^2+(8)^2=13.69+64](https://img.qammunity.org/2021/formulas/physics/college/5scej3acz52fiw5zmldmypqaw9ii9of01d.png)
![c^2=77.69](https://img.qammunity.org/2021/formulas/physics/college/mt9acedbphoe8abxlbvt0opcg1fpp08oky.png)
![c=√(77.69)=8.8m](https://img.qammunity.org/2021/formulas/physics/college/r5aohv0fin9k9kghgymru158nnt941gw6w.png)
Hence, the length of third side of the triangle 8.8 m