Answer:
The shortest distance from Frank's house to Ryan's house is 10 miles.
Step-by-step explanation:
Ryan’s house lies 6 miles due East of Adrian’s house. Adrian’s house is 8 miles due South of Frank’s house.
See the attached diagram.
The three houses form a right triangle Δ RAF and RF is the hypotenuse.
So, the shortest distance from Frank's house to Ryan's house is given by
RF² = RA² + AF² = 6² + 8² = 100
⇒ RF = 10 miles. (Answer)
