WP4-Solve triangle if you know area
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Lesson Summary:
In this lesson, you will learn how to solve a geometry problem using factoring. Specifically, you will learn how to find the height of a triangle when given the area and the length of the base. By using a formula for the area of a triangle, factoring a quadratic equation, and checking the answer, you will be able to determine the height of the triangle even when the picture is not to scale.
Lesson Description:
This is a Word Problem you solve by writing an equation and factoring. Word Problem 4 -Area of a Triangle-The height of a triangle is 4 inches more than twice the length of the base. The area of the triangle is 35 square inches. Find the height of the triangle.
More free YouTube videos by Julie Harland are organized at http://yourmathgal.com
Questions answered by this video:
- How can you find the height of a triangle in inches if the height of the triangle is 4 inches more than twice the length of the base, and the area is 35 in^2?
- How do you solve geometry word problems by writing, factoring, and solving quadratic equations?
- How do you know when you can eliminate an answer that does not make sense in a word problem?
- How can you check to make sure that your answer is correct in a word problem?
- How do you solve 35 = B^2 + 2B?
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Staff Review
This problem is another classic word problem in Algebra 2, in which you must know the formula for the area of a triangle and write out a quadratic equation and solve it to find the missing information. This tutorial will really help you learn how to solve word problems in an advanced Algebra course.
