Question

can anybody help me on this

Answer 1

24-12=

12/2=

6^2+8^2=c^2

100=c^2

Root them

10=c.

C is ad

Answer is 10

Answer 2

Answer: second option.

Step-by-step explanation:

Find the distance AE by subtracting AB and  DC and dividing by 2:

$AE=\frac{AB-DC}{2}\\\\AE=\frac{24-12}{2}\\\\AE=6$

Knowing the length of DE and AE, you can apply the Pythagorean Theorem to calculate the distance AD, which would be the hypotenuse of the triangle ADE:

$a=\sqrt{b^2+c^2}$

Where "a" is the hypotenuse and "b" and "c" are the legs of the triangle.

Then:

$a=AD\\b=AE=6\\c=DE=8$

Substituting values into $a=\sqrt{b^2+c^2}$ you get that the lenght of AD is:

$AD=\sqrt{6^2+8^2}\\AD=10$