Find value of x question number F give step by step solution plz take photo or write step by step answer

x= 17 cm

Step-by-step explanation:

Apply the Pythagorean relationship in this question which is stated mathematically as;

a² + b²= c²

where

a= is the base length, b is the height and c is the hypotenuse

First find length BC , where b= 8 cm and c=10cm and a=?

Hence;

a² + b²=c²

a² + 8²=10²

a²= 10²-8²

a²=100-64 =36

a=√36 = 6 cm

Now find AD=x where  AB=8cm , BD = 6+9= 15cm

In this case, a=15 cm , b=8cm , c=?

a² + b²=c²

15² + 8² = c²

225 + 64 = c²

289= c²

√289 = c

17 cm = c = x

the function makes a strait line horizontally with no x intercept but a y intercept at 9.