This is using the Pythagorean theorem.
2006-07-05 10:41:08 · 12 answers · asked by sljsdc1 1 in Science & Mathematics ➔ Mathematics
39 * sq rt(2)
2006-07-05 10:44:07 · answer #1 · answered by Mr__Roarke 2 · 0⤊ 0⤋
You have to know that the diagonal of a square creates an isosceles right triangle with angles 45-45-90.
The hypotenuse of an isosceles right triangle with length n is n * sqrt 2, so the length of this diagonal is 39 * sqrt 2 = 55.15 cm
2006-07-05 10:46:11 · answer #2 · answered by jimbob 6 · 0⤊ 0⤋
39 Centimeters
2016-10-17 23:18:10 · answer #3 · answered by alejandrez 4 · 0⤊ 0⤋
diagonal = √ 39² +
diagonal = √2 * 39²
diagonal =39√2 cm
2006-07-05 13:15:52 · answer #4 · answered by M. Abuhelwa 5 · 0⤊ 0⤋
Hey! If this is a homework assignment...
The theorem is "a squared + b squared = c squared" , where a and b are sides of a triangle.
So 39 squared, plus 39 squared = what? 3042
3042 = c squared. c = the square root of 3042 which is 55.15cm. Don't forget the units (centimeters).
2006-07-05 10:54:32 · answer #5 · answered by montazmeahii 3 · 0⤊ 0⤋
A shade over 55 cm. Since you have defined the sides to only two significant figures, it is usefless to calculate the diagonal to any higher precision than two significant digits.
2006-07-11 21:58:14 · answer #6 · answered by Anonymous · 0⤊ 0⤋
39 * 39 = 1521 (first side squared)
39 * 39 = 1521 (second side squared)
1521 + 1521 = 3042 (sum of squares = square of hypotenuse)
sqrt(3042) = 55.1543 (length of hypotenuse)
2006-07-05 10:47:13 · answer #7 · answered by Keith P 7 · 0⤊ 0⤋
a^2 + b^2 = c^2
where a & b are two adjacent sides, and c is the diagonal
therefore c= sqrt( a^2 + b^2)
2006-07-05 10:48:49 · answer #8 · answered by energeticthinker 5 · 0⤊ 0⤋
the length of the diagonal is 55.154
2006-07-05 10:54:19 · answer #9 · answered by Mirage 1 · 0⤊ 0⤋
a^2+b^2=c^2. You are looking for c, you already know what a and b are....39cm. Just do the math and you got it.
2006-07-05 10:50:11 · answer #10 · answered by classicwoodworks2000 2 · 0⤊ 0⤋