Elementary Geometry for College Students (7th Edition) Clone

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 3 - Test - Page 180: 19

Answer

length of sides of isosceles triangle = 10cm

Work Step by Step

altitude of an isosceles triangle = h =8cm perimeter = p =32cm and side = a cm then h =$1\div$2$\sqrt (p(4a-p))$ 16 = $\sqrt (32(4a-32))$ 16 = 8 $\sqrt(2a-16)$ 2= $\sqrt(2a-16)$ 4= 2a-16 2a=20 a= 10 cm
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