Question

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Patrick is playing hide-and-seek with Eddie and Dustin. Eddie is hiding 4 meters south of Patrick, and Dustin is hiding 3 meters east of Eddie. How far apart are Patrick and Dustin?

Answer 1

Answer:

Distance ⇒ 5 meters

Step-by-step explanation:

If we are to name the point with which Patrick stands P, Eddie's point E remains 4 meters south such that Dustin ( D ) is 3 meters to the right;

This in fact forms a 90 degree triangles, a right triangle with legs provided to be 4 and 3 knowing Eddie's remains 4 meters south, Dustin 3 meters to the right. If we are to determine how far apart Patrick and Dustin are, this is the hypotenuse of the right angle triangle formed, and the length can be determine through Pythagorean Theorem;

4^2 + 3^2 = x^2, x ⇒ distance between Patrick and Dustin,

16 + 9 = x^2,

x^2 = 25,

Distance ( x ) ⇒ 5 meters

Answer 2

Answer: 5!

Step-by-step explanation: We can use the Pythagorean theorem!

A² + B² = C²

We know the two legs length (3 and 4), so now we simply plug them in.

A² + B² = C²

3² + 4² = C²

9 + 16 = C²

9 + 16 = 25

$\sqrt{25}$ = C

5 = C

I hope this helps you :)