Question

If ABCD is a square and AC= 26, what is the length of BC

Answer 1

Answer: aprox 18.38

Explanation:

you have a AC=, which is the hypothenuse of the right triangle, and isosceles

ABC

AB=BC, sides of a square

remember c^2=a^2+b^2 but and b are equal so we can say

c^2= 2a^2

c=a
`√(2)`, 26/
`√(2)`=a

a=(26
`√(2)`)2=18.38

Answer 2

BC = 18.385

Explanation:

You can look at ABC as a right triangle and use the Pythagorean theorem to solve for BC. 26 squared is 676, 676 divided by 2 is 338, and finally the square root of 338 is 18.385. This is the length of BC and AB as well. Hope that helped