SOLUTION: Ed looks around at an assembly. He notices his younger sister to his right and his older brother 5 meters ahead of him. If Ed's brother and sister are 13 meters apart, how far apar

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Question 1205285: Ed looks around at an assembly. He notices his younger sister to his right and his older brother 5 meters ahead of him. If Ed's brother and sister are 13 meters apart, how far apart are Ed and his younger sister?

Answer by ikleyn(52781) About Me  (Show Source):
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Ed looks around at an assembly. He notices his younger sister to his right
and his older brother 5 meters ahead of him.
If Ed's brother and sister are 13 meters apart, how far apart are Ed and his younger sister?
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You have this right angled triangle ESB  (E= Ed, S = sister and B = brother).
The right angle is at E.

The hypotenuse BS is 13 meters. The leg ES is unknown, the leg EB is 5 meters.


Use Pythagoras to find ES = sqrt%2813%5E2-5%5E2%29 = sqrt%28169-25%29 = sqrt%28144%29 = 12.


ANSWER.  The distance ES is 12 meters.

Solved.