MATH PROBLEM! please please please help!?

Question

A square computer screen measures 14 inches along its diagonal. How many inches long is the perimeter? Round your answer to the nearest whole number.

please help me solve this!
thanks! :-D

Answer 1

14²=2a² Pythag's Theorem
196=2a²
98=a²
a=9.899 inches

perimeter = 4a
p=4*9.899
39.598 inches
therefore to the nearest whole number, 36 inches

Answer 2

If it's square, two adjacent sides plus the diagonal form a 1:1:sqrt2 triangle, according to Pythagoras's Theorem. The square root of 2 is about 1.414. If you multiply that by 10, you get 14.14, which is very close to the 14 inches in the problem. That means that the sides must be about 10 times the 1's in the ratio, so you can say that the sides would be 10 inches, rounded to the nearest whole number.

Answer 3

Using Pythagorean theorem
The diagonal of any rectangle is
diag = sqrt(width^2 + Length^2)
A square is just a special rectangle
where the width = length = side
diag = sqrt(side^2 + side^2)
diag = sqrt(2*side^2)
diag = side*sqrt(2)
14 = side * 1.4142
side = 9.899
The perimeter is the sumation of the sides of the rectangle.
In this case a square has all 4 sides the same.
perimeter = 4 * side
perimeter = 39.5979 inch
perimeter = 40 inches (rounded to nearest whole number)

Answer 4

diagonal = 14 "each , let a be a side of a square
Pythagoras theorem:

2a^2 = 14^2 = 196
a^2 = 98
a = sqrt (98)=7 sqrt (2)
perimiter = 4 a = 28 sqrt (2) inches =
about 40 inches

Answer 5

It's an equilateral triangle....the hypotenuse being 14....

Solve Pythagorean Theorm using 14 as the hypotenuse, and the other two sides being equal - find the length of the other two sides. Then multiply by 4 for the perimeter, which is the sum of all the sides....