According to Pythagoras theorem we have,
![\text{Hypotenuse}=\sqrt[]{Base^2+Altitude^2}](https://img.qammunity.org/2023/formulas/mathematics/college/dsnxlpajbnldz971nb65vn6kg3vsd4p82f.png)
1)
We have,
Base = 16
Altitude = 19
Hypotenuse = x.
Therefore,
![x=\sqrt[]{16^2+19^2}=24.83](https://img.qammunity.org/2023/formulas/mathematics/college/8p57jomiqug31y1ff0kfm3e71vw3o64qed.png)
The pythagoras theorem applies to right angled triangle. Consider the triangle, ABC,
If we know the two sides base and altitude, the third side hypoteuse can be calculated as,
![\begin{gathered} \text{Hypotenuse}^2=Base^2+Altitude^2 \\ \text{Hypotenuse}=\sqrt[]{Base^2+Altitude^2} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/fl2zlk4m5nskb0p0d93drporoezjjdrl1d.png)
This is Pythagoras theorem.