Question

your friend's house is 3.9 miles north and 5.2 miles west of your bank how far is your friend's house from the bank

Answer 1

• Base=B=5.2mi
• Perpendicular=P=3.9mi

Hypotenuse H we need

Apply Pythagorean theorem

• H²=P²+B²
• H²=3.9²+5.2²
• H²=6.5²
• H=6.5mi

Answer 2

6.5 miles far from the bank.

Explanation:

→ AC = 3.9 miles (perpendicular)

→ BC = 5.2 miles (base)

→ AB = x (hypotenuse)

By using Pythagoras theorem the length of AB will be,

→ (Hypotenuse)²=(Perpendicular)²+(Base)²

→ AB² = AC² + BC²

→ AB² = (3.9)² + (5.2)²

→ AB² = 15.21 + 27.04

→ AB = √(42.25)

→ [ AB = 6.5 ]

Hence, friend's house is 6.5 miles away.