Answer:
x = 12
Step-by-step explanation:
ΔABC is a right triangle, therefore we can use Pythagoras' Theorem to find the value of x.
Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
Therefore,
Substitute these values into the equation and solve for x:
⇒ x² + 16² = 20²
⇒ x² + 256 = 400
⇒ x² = 400 - 256
⇒ x² = 144
⇒ x = √(144)
⇒ x = ±12
As length is positive, x = 12 units (only)
