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September 19, 2014

September 19, 2014

Posted by **thomas** on Thursday, April 24, 2014 at 2:09pm.

a. 1:4

b. 1:2

c. 1:1

d. 2:1

e. 4:1

please answer and explain

- math -
**Steve**, Thursday, April 24, 2014 at 5:16pmIf we call the respective bases and altitudes a,b for ABC and d,e for DEF, then we have

a = b/2

e = d/2, so d = 2e

So, let's find the ratio b/e

Since the areas are equal,

(1/2)(ab) = (1/2)(de)

(b/2)(b) = (2e)(e)

b^2/2 = 2e^2

b^2/e^2 = 4

b/e = 2

So, (D) 2:1

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