Maths-
General
Easy
Question
She takes off from her house and runs 3 miles north and 4 miles west. Tired, she wants to take the shortest route back. How much farther will she have to run if she heads straight back to her house?
Hint:
Pythagoras' theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°.
If a is the perpendicular, b is the base, and c is the hypotenuse, then according to the definition, the Pythagoras Theorem formula is given as
c2= a2 + b2
The correct answer is: she has to run 5 miles if she heads straight back to her house.
Here, Length of perpendicular(a) = 3 miles
Length of base(b) = 4 miles
Let’s say that the shortest distance is d and here that distance is the hypotenuse of the right-angled triangle.
Using Pythagoras theorem
d2 = a2 + b2
d2 = 32 + 42
d2 = 25
d = 5 miles
Final Answer:
Hence, she has to run 5 miles if she heads straight back to her house.
Final Answer:
Hence, she has to run 5 miles if she heads straight back to her house.
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