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Geometry word problem help?

Topic: The steps to problem solving
July 18, 2019 / By Shay
Question: An airplane lands at an airport 60 miles east and 25 miles north of where it took off. How far are the two airports Can you guys explain to me how to solve this problem step by step?

Best Answers: Geometry word problem help?

Parris | 1 day ago
This is actually more of an algebra problem. For this, you have to picture a triangle. You're trying to find the hypotenuse of a right triangle, so you're going to use the Pythagorean theorem. Picture the triangle with the right angle on the bottom right. The bottom left point is your starting destination. You're going to go 60 miles east, which is shown as right on a map, thus creating the bottom of the triangle. Then you're going to go 25 miles north, which is shown as up on a map. Thus creating the side. You have to set up an equation to solve for c, or the hypotenuse. The Pythagorean theorem is a^2+b^2=c^2 If a is 60 and b is 25, then your equation will be set up as this: 60^2+25^2=c^2 Then you're going to simplify the left side of the equation, by first finding 60^2 and 25^2 You find that the equation is 3600+625=c^2 Then you simplify further and add 3600 and 625 together. That leaves your equation at 4225=c^2 Now, you think you may have found the answer, but you have one last step. You're trying to find c, not c^2. So you're going to find the square root of 4225, because the square root of c squared=c. You find that you answer is c=65 That means your answer is 65 miles. The two airports are 65 miles apart. Hope this helped!
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Margarita
So the airplane flew to an airport at an angle. We can find the length of that by using Pythagorean Theorm. A^2+B^2=C^2 C is our hypotenuse. Let A be 60, and 25 be B, and C is how far. 60^2+25^2=C^2 c^2=4225 C=65. 65 miles away.
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Kisha
It's a triangle the distance in between is the hypotenuse and the others are the legs. Square the legs (60 and 25) and add those answers together and then square root that to find your answer. Hope I helped!
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Jannine
This problem is a basic case of the pythagrean theorem. 60 --------------------------- | 25| | | a^2+b^2=c^2 25^2+60^2=c^2 c=65 65 miles
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