Length AB is an illustration of Pythagoras theorem.
The length of AB is (G) [tex]\mathbf{\sqrt{74}}[/tex]
The given figure is a right-angled triangle.
Such that:
AC = 7
BC = 5
AB = ?? The hypotenuse
Using Pythagoras theorem, we have:
[tex]\mathbf{AB^2 = AC^2 + BC^2}[/tex]
Substitute values for AC and BC
[tex]\mathbf{AB^2 = 7^2 + 5^2}[/tex]
Evaluate squares
[tex]\mathbf{AB^2 = 49 + 25}[/tex]
Add
[tex]\mathbf{AB^2 = 74}[/tex]
Take square roots
[tex]\mathbf{AB = \sqrt{74}}[/tex]
Hence, the value of AB is (G) [tex]\mathbf{\sqrt{74}}[/tex]
Read more about Pythagoras theorem at:
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