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 360: 30b

Answer

Area of $\triangle$ RSV = 20.4$cm^{2}$

Work Step by Step

we need to find $A_{RSV}$ Given $A_{RST}$ = 40.8 $cm^{2}$ Area of $\triangle$ RST = Area of $\triangle$ RSV + Area of $\triangle$ RVT Given theorem, “A median of a triangle separates it into two triangles of equal area.” Therefore $A_{RSV}$ = $A_{RVT}$ Area of $\triangle$ RST = Area of $\triangle$ RSV + Area of $\triangle$ RSV 40.8 = 2 Area of $\triangle$ RSV Area of $\triangle$ RSV = $\frac{40.8}{2}$ = 20.4$cm^{2}$
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