Question

How do I find the value of X

Answer 1

x = 12

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,

• a = x
• b = 16
• c = 20

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)