Answer:
x = 14.02 units
Explanation:
Finding unknown value using Pythagorean theorem:
This is an isosceles trapezium. The two perpendiculars divide the trapezium into two congruent triangles and a rectangle. Let the base of the triangle by 'y'. We can find the value of 'y' using Pythagorean theorem.
In ΔABC,
AC² = AB² + BC²
19² = 17 ² + y ²
361 = 289 + y ²
361 - 289 = y ²
y ² = 72
y =√72
y = 8.49
x = 31 - 8.49 - 8.49
x = 14.02