On the way to school, Bobby noticed the school bus travels 8 miles north, then turns west and goes 6 miles to get to school. If there were a road that went straight from Bobby's house to school, how long the road would be?
Use the Pythagorean Theorem.
a^2 + b^2 = c^2
If you sketch this you will see a right triangle is formed.
a = 8
b = 6
c = hypotenuse
Use the Pythagorean theorem
c^2 = a^2 + b^2
Solve for c, road to Bobby's house
is the answer 10 miles
Right, allen!!
u the best teacher ever!!!!!!!!!!!!!!!!!!!!!
To find the length of the road that would go straight from Bobby's house to school, we can use the Pythagorean theorem.
Let's draw a right triangle with the lengths of the two legs representing the distances traveled by the school bus. The first leg, traveling north, is 8 miles long, and the second leg, traveling west, is 6 miles long.
Using the Pythagorean theorem: a^2 + b^2 = c^2, where a and b are the lengths of the legs, and c is the length of the hypotenuse (the straight road).
So, substituting the known values: 8^2 + 6^2 = c^2.
Now, let's simplify the equation: 64 + 36 = c^2.
Adding the numbers together: 100 = c^2 (square root both sides)
Taking the square root of both sides: √100 = √c^2.
Simplifying: 10 = c.
Therefore, the length of the road that would go straight from Bobby's house to school is 10 miles.