What is the length of AB in the figure below?

Length AB is an illustration of Pythagoras theorem.

The length of AB is (G)

The given figure is a right-angled triangle.

Such that:

AC = 7

BC = 5

AB = ?? The hypotenuse

Using Pythagoras theorem, we have:

Substitute values for AC and BC

Evaluate squares

Add

Take square roots

Hence, the value of AB is (G)

Read more about Pythagoras theorem at:

link

G. sqrt (74)

Step-by-step explanation:

Use the Pythagorean theorem to find AB, which is represented by c in the theorem.

a^2 + b^2 = c^2

7^2 + 5^2 = c^2

49 + 25 = c^2

74 = c^2    (Take the square root of each side)

c = sqrt (74)

So, AB = sqrt (74)

(x) - (y) = (1 + 4i)