In the triangle shown below what is the approximate value of x

The correct answer is b) 20.78

Step-by-step explanation:

To find this, use the Pythagorean Theorem. Use 12 as the first leg, x as the second and 24 as the hypotenuse.

a^2 + b^2 = c^2

12^2 + b^2 = 24^2

144 + b^2 = 576

b^2 = 432

b = 20.78

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.