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Find the value of l in the frustrum above - JAMB Mathematics 1999 Question

Find the value of l in the frustrum above
A
5cm
B
6cm
C
7cm
D
8cm
correct option: a

ΔABE and ΔACD are similar

x
=3
6
x+4

6x = 3(x+4)

6x = 3x + 12

3x = 12

x = 4

In ΔACD; L2 = (4+4)2 + 62

= 82 + 62

= 64 + 36

= 100
L =

 100 

= 10cm

In ABE, AE2 = 42 + 32

= 16 + 9

= 25

AE = 5cm

∴L = 10 - 5

= 5cm

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