dodsons794
Answered

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Two friends leave school at the same time, Sarah is heading due north and Beth is heading due east. One hour later they are 5 miles apart. If Sarah had traveled 4 miles from the school, how many miles had Beth traveled?
A.
3 miles
B.
1 mile
C.
4 miles
D.
2 miles

Sagot :

mhanifa

Answer:

  • A. 3 miles

Step-by-step explanation:

The distance between the friends is the hypotenuse of the right triangle.

Use Pythagorean to find the missing side x:

  • x² + 4² = 5²
  • x² + 16 = 25
  • x² = 9
  • x = √9
  • x = 3 miles

Use Pythagorean theorem

  • P²=H²-B²
  • P²=5²-4²
  • P²=25-16
  • P²=9
  • P=3mi
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