Answer:
The length of AC = 5 units
Step-by-step explanation:
Considering the right triangle ∆ABC
As
In order to find AC, we will use Pythagorean Theorem which states that the square of the length of the hypotenuse equals to the sum of squares of the lengths of other two sides of the right-angled triangle.
Here,
So, using Pythagorean Theorem
[tex]AC^2\:=\:AB^2\:+\:BC^2\:[/tex]
[tex]AC\:=\:\sqrt{AB^2\:+\:BC^2\:}[/tex]
[tex]AC\:=\:\sqrt{4^2\:+\:3^2\:}[/tex]
[tex]AC=\sqrt{16+9}[/tex]
[tex]AC=\sqrt{5^2}[/tex]
[tex]AC=5[/tex]
Therefore, the length of AC = 5 units
Keywords: right triangle, hypotenuse, Pythagorean Theorem
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