A square has sides of length 15. What is the length of the diagonal?
А
14/4
B
15/2
C
16/5
D
12/3

15 sqrt(2) =c

Step-by-step explanation:

We can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

The legs are 15 and the hypotenuse is the diagonal

15^2 + 15^2 = c^2

2 * 15^2 = c^2

Take the square root of each side

sqrt(2 * 15^2 )=sqrt( c^2)

sqrt(2) sqrt(15^2) = c

15 sqrt(2) =c

109 is the nearest whole number/final answer! : )

hreryryrranswer:

step-by-step explanation: