To specify: the value of x for which the
Answer to Problem 15WE
The value of x for the given condition is
Explanation of Solution
Given Information: A triangle with sides x,x+4 and 20 with 20 being the longest side.
Formula used:
Any triangle is said to be acute, if all its three
Calculation:
For an acute triangle with given sides x,x+4 and 20, 20 being the longest side, the relation between sides can be expressed as,
This implies ,
Solving the equation and expressing the above inequality in terms of its factors of the quadratic polynomial,
Since x is one of the sides of the triangle, a negative value cannot be considered. Thus, the value of x for the triangle to be acute can be summarized as,
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- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning