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.

Respuesta :

Hello!

For this you use the pythagorean theorem. ([tex] a^{2} + b^{2} = c^{2} [/tex])

so [tex] 4^{2} + b^{2} = 7^{2} [/tex]

which is 16 + [tex] b^{2} [/tex] = 49

You subtract 16 from both sides

so [tex] b^{2} [/tex] = 33

Then you take the square root of 33 which is 5.7

The answer is 5.7ft

Hope this helps!