Question

A rectangle has a short side of 5 and a diagonal of 10. What is the length of the rectangle?

Answer 1

use Pythagorean formula

Answer 2

Apply Pythagorean theorem:
Let x = length
then
5^2 + x^2 = 10^2
25 + x^2 = 100
x^2 = 75
x = sqrt(75)
x = sqrt(5*5*3)
x = 5*sqrt(3) (exact answer)
or, approximate answer:
x = 8.66

Answer 3

or know that if the hypotenuse is twice the short side, then the ratios are \(1:\sqrt{3}:2\)

Answer 4

since the short side is \(5\) the long sides is \(5\sqrt{3}\)

Answer 5

ok. thanks

Answer 6

My pleasure