Concept explainers
Find the length of the base of the
Answer to Problem 2STP
Base of the triangle is 20 cm. Option J is correct.
Explanation of Solution
Given:
The area of a triangle in which the length of the base is 4 cm greater than twice the height is 80 square centimeters. What is the length of the base of the triangle?
Concept Used:
Translate the conditions given in the question into equations.
Let the height be is x cm
Length of the base is 4 cm greater than twice the height = 2x + 4
Area = 80 square centimeter.
Area of the Triangle is :
The equation:
Calculation:
Let the height be is x cm
Length of the base is 4 cm greater than twice the height = 2x + 4
Area = 80 square centimeter.
Area of the Triangle is :
The equation:
Solve for x:
Height cannot be negative, so x = 8
Height = 8 cm , base = 2x + 4 = 2 (8) + 4 = 20 cm
Thus, Base of the triangle is 20 cm. Option J is correct.
Chapter 9 Solutions
Algebra 1
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