Question

From her home, Stacy would have to walk due north to get to her friend Regan's house and due east to get to her friend Frank's house. It is 6 kilometers from Stacy's house to Frank's house and a straight-line distance of 10 kilometers from Regan's house to Frank's house. How far is Stacy's house from Regan's house?

Answer 1

Answer: 4

Step-by-step explanation:

Answer 2

Answer:

Stacy's house is 8 kilometres from regan's house

Step-by-step explanation:

if we make diagram of given question we see that distance between Frank's house and regan's house is hypotenuse

distance between Stacy's house and Frank's house is base

distance between Stacy's house and regan's house is perpendicular

so hypotenuse=10km

base=6km

let perpendicular=x

using traingle law,

(h)2=b2+P2

(10)2=(6)2+P2

100=36+P2

P2=64

p=8

so distance between Stacy's house and regan's house is 8km

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