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The base of a triangle is 4 dm longer than its altitude, and its area is 16dm^2. Find the...

Question:

The base of a triangle is 4 dm longer than its altitude, and its area is {eq}16dm^2. {/eq} Find the lengths of the base and its altitude.

Systems of equations word problems:

In this problem, we have two variables - the base length of the triangle and the altitude. When we have to solve for two variables, we need to set up at least two equations. Then, we can substitute one equation into the other.

Answer and Explanation: 1

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Firstly, we know that area is equal to one half base times height. So, {eq}A = \frac{1}{2} \times b \times h \\ 16 = \frac{1}{2} \times b \times h...

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How to Solve System of Equations Word Problems | Method & Example

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Chapter 8 / Lesson 7
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Learn how to solve systems of equations word problems. Discover how solving systems of equations word problems is done using the elimination method and the substitution method.


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