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 com
plex.
What is the length of a straight line
between Calvin's house and the sports
complex? Round to the nearest tenth.
What is the length of a straight line
between Calvin's house and the sports
complex? Round to the nearest tenth.
1 answer:
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:
check out the document below (sorry, it's a little bit blurry)
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<h2>Steps</h2>
So the 45-45-90 triangle is considered to be a "special triangle" and has a rule with it. If the legs are x, then the hypotenuse is x√2. Since we know that the hypotenuse is 18, this means we can set up our equation as such:
From here we can solve for x. Firstly, divide both sides by √2.
Next, we want to simplify this expression and to do that we first have to rationalize the denominator. With the right side, multiply the numerator and denominator by √2:
Next, divide:
<u>In short, the length of one leg of the triangle is 9√2 cm.</u>