ASAP plaase ABCD is a square. The length of each side of the square ABCD is___units, and the length of its diagonal is about_units. First options:9, 14, 28 Second options:14, 18.6, 19.8

length is 14

diagonal is 19.8

Step-by-step explanation:

To find the length of the side of the square, what we need to do is to use the height 12 in each triangle to find the length of the adjacent in each triangle and add together.

Mathematically we can find the length of this adjacent using the Pythagoras theorem which states that the square of the hypotenuse equals sum of the squares of the two other sides.

Applying this to each of the 2 triangles but summing the answer;

The length l is as follows;

Let’s call the adjacent fir each side of the triangle a and b but the addition being l

a^2 = 15^2 - 12^2 = 225-144 = 81

a^2 = 81

a = 9

b^2 = 13^2 -12^2

b^2 = 169-144

b^2 = 25

b = 5

l = a + b = 9 + 5 = 14

The diagonal can also be calculated using pythagoras’

d^2 = 14^2 + 14^2

d^2= 196 + 196

d^2 = 392

d = √(392)

d = 14√2 = 19.8

c

step-by-step explanation: