Answer:
x = 15 ft
Explanation:
Given:
A right-angled triangle with two sides given
To find:
the measure of the third side
From the diagram:
hypotenuse = x ft
opposite = 12 ft
adjacent = 9 ft
To get the third side, we will apply Pythagoras theorem:
Hypotenuse² = opposite² + adjacent²
Substitute the values into the formula:
[tex]\begin{gathered} x^2\text{ = 12}^2\text{ + 9}^2 \\ x^2\text{ = 144 + 81} \\ x^2\text{ = 225} \\ x\text{ = 15} \end{gathered}[/tex]
