To calculate:Thearea oftriangleABC .
Answer to Problem 17RP
The area of triangleABCis
Explanation of Solution
Given information:
In triangleABC ,
Side AC =18,
Side AB =
Side BC =
Formula used:
The below theorem is used:
Pythagoras theorem states that “In a right angled
In right
Area of triangle:
b = base of triangle
h = height of triangle
Calculation:
The perpendicular BD to base AC forms two
Side BD can be calculated by applying Pythagoras Theorem.
In right angled triangle BDA , we get
Area of triangle:
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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