Question

Pls help I’ll give brainliest if you show ur work

Answer 1

Answer:

DB = 20 cm

Step-by-step explanation:

Given:

║AB = 12 cm (represented by 'a' leg)

║AD = 16 cm (represented by 'b' leg)

║DB =  x cm (hypotenuse represented by 'c' leg)

These formulas are used to solve for a missing side length:

║a = $\sqrt{(c^2 - b^2)}$

║b = $\sqrt{(c^2 - a^2)}$

║c = $\sqrt{(a^2 + b^2)}$

Because we are solving for side length c, we will be using the third formula.

║c = $\sqrt{(a^2 + b^2)}$

║c = $\sqrt{(12^2 + 16^2)}$

║c = $\sqrt{(144 + 256)}$

║c = $\sqrt{400}$

║c = 20

Therefore, the value for side length DB should be:

║DB = 20 cm