SOLUTION: The width of a triangle is 4 meters shorter than its height. What are the height and width of the triangle if the area is 48 square meters?

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Question 200174This question is from textbook Intermediate Algebra
: The width of a triangle is 4 meters shorter than its height. What are the height and width of the triangle if the area is 48 square meters? This question is from textbook Intermediate Algebra

Answer by solver91311(24713) About Me  (Show Source):
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By width, I presume you mean the measure of the base. Let represent the measure of the base, then the height must be

The area of a triangle, in terms of the measures of the base and the height is:



Substitute what you know:



Simplify, put it into standard form, and solve the resulting quadratic for

John