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
