Sarah lives 4miles west of peter amy lives 6.5 miles south of petit how far is sarahs house to amy’s

Suppose Peter lives at O, i.e at the center in the middle of Four direction.

Distance from Sarah house to peter= 4 miles west of peter house=OS

Distance from Peter house to Amy= 6.5 miles south of peter house=OA

In right Δ S O A, ∠ O=90°

SA²= SO² + OA²  → [By pythagoras theorem]

SA² =4²  + (6.5)²

      = 16+ 42.25

       = 58.25

SA=√58.25=7.63 miles (approx)

Distance between Sarah's house and Amy's house is 7.6 miles.

Step-by-step explanation:

Since we have given that

Distance at which Sarah lives west of Peter= 4 miles

Distance at which Amy lives south of Peter = 6.5 miles

Now, we need to find the distance between Sarah's house to Amy's house,

We'll use Pythagorus theorem,

So, Distance between Sarah's house and Amy's house is 7.6 miles.

step-by-step explanation:

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step-by-step explanation: