Word problem: What is it saying?

This distance will be used to calculate the center of mass of the triangle, which is the point where the mass of the triangle is evenly distributed. In summary, the problem is asking to find the center of mass of an isosceles right triangle with equal sides of length a, where the density at any point is proportional to the square of the distance from the vertex opposite the hypotenuse.
  • #1
rocomath
1,755
1
I'm not sure what part of this problem is saying:

Find the center of mass of a lamina in the shape of an isosceles right triangle with equal sides of length a if the density at any point is proportional to the square of the distance from the vertex opposite the hypotenuse.

bold part!

So, they're referring to the distance from the vertex (the right angle) to the hypotenuse? Opposite the hypotenuse?
 
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  • #2
rocomath said:
So, they're referring to the distance from the vertex (the right angle) to the hypotenuse? Opposite the hypotenuse?

They are referring to the distance of any point on the triangle from the vertex which is opposite the hypotenuse, i.e., the right angled vertex.
 

1. What is a word problem?

A word problem is a mathematical problem that is presented in a written or verbal format, using words instead of numbers or symbols.

2. How do you approach solving a word problem?

The first step in solving a word problem is to carefully read and understand the problem. Then, identify the relevant information and determine the mathematical operation needed to solve the problem. Finally, solve the problem and check your answer to ensure it makes sense.

3. What are some common keywords in word problems?

Common keywords in word problems include "sum," "difference," "product," "quotient," "more than," "less than," "per," "each," "total," "in all," "combined," "remainder," "perimeter," and "area."

4. How can I check my answer to a word problem?

You can check your answer to a word problem by plugging your solution back into the original problem and seeing if it makes sense. You can also use estimation, re-solving the problem using a different method, or checking your work using a calculator or other math tool.

5. What are some strategies for solving challenging word problems?

Some strategies for solving challenging word problems include drawing a diagram or picture, making a table or chart, breaking the problem into smaller parts, and using real-life examples or scenarios to better understand the problem. It can also be helpful to read the problem multiple times and ask yourself what information is missing or needed to solve the problem.

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