Wednesday

January 28, 2015

January 28, 2015

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

**Answer this Question**

**Related Questions**

math - The base of triangle ABC is one half the altitude.The altitude of ...

math - an altitude of triangle is 5/3rd of the length of its corresponding base ...

Algebra - Triangles ABC and DEF are similar. Find the area of triangle ABC. ...

Math - The altitude of a triangle is increasing at a rate of 2500 centimeters/...

CAL - The altitude of a triangle is increasing at a rate of 2500 centimeters/...

CAL - The altitude of a triangle is increasing at a rate of 2500 centimeters/...

Calculus Please help! - The altitude of a triangle is increasing at a rate of ...

calculus - The altitude of a triangle is increasing at a rate of 3.000 ...

Algebra - the altitude of a triangle is 3m less than half its base. If the area ...

math - the length of the base of a triangle is 4 times its altitude. if the area...