Question

Three ballet dancers are positioned on stage. Shereen is straight behind Haley and directly left of Eric. If Haley and Shereen are 4 feet apart, and Eric and Haley are 7 feet apart, what is the distance between Shereen and Eric? If necessary, round to the nearest tenth.

Answer 1

Hello!

For this you use the pythagorean theorem. (
`a^(2) + b^(2) = c^(2)`)

so
`4^(2) + b^(2) = 7^(2)`

which is 16 +
`b^(2)` = 49

You subtract 16 from both sides

so
`b^(2)` = 33

Then you take the square root of 33 which is 5.7

The answer is 5.7ft

Hope this helps!