Trig help, show step by step?

Question

Julian decides to swim diagonals instead of lengths in his backyard rectangular pool. If the pool is 8m by 6m, how many diagonals must he swim to complete 1km?

Answer 1

use the pythag. formula:

a^2 + b^2 = c^2 (where a = 8 and b = 6) to find the length of c (which is the longest diagonal of his pool)

c = 10m

there are 1000 m in 1 km, so he must swing 100 diagonals:

1000/10 = 100

Answer 2

Per the pythagorean theorem, the diagonal is determined by

a²+b²=c²

So the diagonal c=√(6²+8²) = 10m

Since the diagonal is 10m he needs to swim 100 diagonals to complete 100*10m = 1km

Answer 3

Use Pythagorean theorem to find the length of a diagonal.

8^2+6^2=c^2

c=10

So he is swimming 10 meter long diagonals. 1 km=1000m, so he needs to swim 100 diagonals.

Answer 4

You're looking for the hypotenuse of a right-angled triangle here.

8^2 + 6^2 = x^2

100 = x^2

x = 10 m

So,

10(x) = 1000 (10 which is the length times 'x' (how many) to get to 1000)

1000/10 = x

100 = x

Therefore 100 diagonals = 1 km

Answer 5

He would have to swim the same diagonal 100 times where back and forth counts as two diagonal paths. Also, he would have to swim the same path over and over since in order to swim different diagonal(s), he would have to travel across either a length or a width.

Answer 6

d² = 8² + 6²
d² = 64 + 36
d² = 100
d = 10 m
No. of diagonals = 1000 / 10 = 100

Answer 7

Find the pool's diagonal (a^2 + b^2 = c^2) you have both 'a' and 'b'.

1000 meters divided by the lenght of c.

Answer 8

The diagonal is 10m.

1000m/10m = 100 diagonal lengths.

Answer 9

Hi. That is a 3,4,5 triangle. (3x2=6, 4x2=8, 5x2=10) so the diagonal is 10m. 1,000m divided by 10m = ?

Answer 10

8m by 6m = 4800x0.0001= ??????