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Calvin's school is 2.3 miles directly south of his house. After school, he takes a bus 1.8 miles directly west to the sports complex.

What is the length of a straight line
between Calvin's house and the sports
complex? Round to the nearest tenth.

Respuesta :

esthergaia

Answer:

2.9 miles

Step-by-step explanation:

If you draw this as a diagram, you will see that it is a right angled triangle and the missing side is the hypotenuse (the longest side). To calculate this, you will need to use the right angle law:

[tex]a^{2} + b^{2} = c^{2}[/tex]

check out the document below (sorry, it's a little bit blurry)

Ver imagen esthergaia

The length of a straight line between Calvin's house and the sports complex will be 2.92 miles.

What is a Pythagoras theorem?

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

Calvin's school is 2.3 miles directly south of his house.

After school, he takes a bus 1.8 miles directly west to the sports complex.

Then the length of a straight line between Calvin's house and the sports complex will be

Let x be the length of a straight line between Calvin's house and the sports complex.

Then we have

x² = 2.3² + 1.8²

x² = 5.29 + 3.24

x² = 8.53

x = 2.9206

x ≅ 2.92 miles

More about the Pythagoras theorem link is given below.

https://brainly.com/question/343682

#SPJ2

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