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just olya [345]
1 year ago
14

To get to his parent's house, Isaiah would have to drive due north 9 kilometers. To get to his grandparents' house, he would hav

e to drive due east 12 kilometers. The straight-line distance between the parents' and grandparents' houses is __ kilometers.
Mathematics
1 answer:
DaniilM [7]1 year ago
6 0

let us represent the question with a diagram for better understanding.

Using Pythagoras theorem

\begin{gathered} c^2=12^2+9^2 \\ c^2=144+81 \\ c=\sqrt[\square]{225} \\ c=15\text{ km} \end{gathered}

The distance between the parents and grandparent house = 15 km

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0.4 miles<br> 1.69 miles<br> 3.0 miles<br> 6.4 miles
anygoal [31]

Answer:

.4 is the answer

Step-by-step explanation:

This is a right triangle problem.  We have one leg as .5 in length and the other leg as 1.2 in length.  The "straight" way to your grandma's house is the hypotenuse.  We need to find that length which will give us the distance straight from your house to their house if you didn't have to go out of your way to avoid the water.  The hypotenuse is found with Pythagorean's Theorem.  It will be filled in and solved as follows:

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.25+1.44=c^2

1.69=c^2

and c = 1.3

That's the straight distance.  You had to go out of your way to the tune of .5+1.2 which is 1.7 miles.  You figure out how much shorter it is taking the straight path by subtracting 1.7 - 1.3 which is .4

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