Question

Give the diagram shown at the right, find the value of 3x.


Pls help!!

Answer 1

3x = 18

Explanation:

Use the Pythagorean Theorem here:

30² = (3x)² + (4x)², or:

30² = 9x² + 16x² = 25x²

Taking the square root of both sides, we get √(30)² = √(25x²), or:

30 = ± 5x

Neglect -5x, since we are measuring distances, and distances are positive.

Then 5x = 30, and so x = 6

Thus, 3x = 3(6) = 18