Answer: 5 km
Step-by-step explanation:
This situation is a Pythagorean Theorem problem so we will use the Pythagorean Theorem rule that A^2 plus B^2 is equal C^2.
so if they hiked 3 km north, three in this case will be the height of the right triangle or in other words, one of the legs of the right triangle.
And if they hiked 4 km east then 4 in this case will also be one of the legs.So is asking what is the hypotenuse.
So in this case square the two legs and add them up to find the square root.
3^2 + 4^2 =C^2
9 + 16 = c^2
25 = c^2 Find the square root of 25
c= 5
So in this case they hiked 5 km straight home.
The hike distance will be 5 kilometers.
It states that in the right-angle triangle the hypotenuse square is equal to the sum of the square of the other two sides.
This situation is a Pythagorean Theorem problem so we will use the Pythagorean Theorem rule that A² plus B² is equal to C².
If they hiked 3 km north, three, in this case, will be the height of the right triangle or in other words, one of the legs of the right triangle.
And if they hiked 4 km east then 4, in this case, will also be one of the legs. So is asking what is the hypotenuse.
So in this case square the two legs and add them up to find the square root.
3² + 4² =C²
9 + 16 = c²
25 = c²
c = 5
Therefore, the hike distance will be 5 kilometers.
To know more about the Pythagorean theorem follow
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