If Alberto's school is 3 miles due south of his house and 4 miles due west of Jimmy's house, what is the straight line distance between Alberto's house and Jimmy's house?
2 answers:
using the Pythagorean Thereom:
3^2 +4^2 = X^2
9 +16 = 25
x^2 = 25
X = sqrt (25)
x = 5
it would be 5 miles
Answer:
5 miles
Step-by-step explanation:
Going 3 miles due south and 4 miles due east (since school is 4 miles west of Jimmy's house, this means Jimmy's house is due east of the school) forms the legs of a right triangle.
To find the missing side length of a right triangle, we use the Pythagorean theorem:
a² + b² = c²
3² + 4² = c²
9 + 16 = c²
25 = c²
The opposite of "squared" is "square root":
√25 = √(c²)
5 = c
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