Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 8 - Section 8.1 - Area and Initial Postulates - Exercises - Page 359: 8

Answer

Not Congruent

Work Step by Step

Given △ABC is an obtuse triangle with obtuse angle A and △DEF is an acute angle triangle. Step 1 we need to compare the area We know area of △= 1/2 bh therefore area of △ABC = 1/2* AB * H =1/2 * 8 * 6 therefore area of △ABC = 24$unit^{2}$ area of △DEF = 1/2* DE * H =1/2 * 8 * 6 therefore area of △DEF = 24$unit^{2}$ area of △ABC = area of △DEF △ABC is not congruent to △DEF even though there areas are congruent.
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