Given: ΔABC ≅ ΔEFD

What is the length of Segment line FE rounded to the nearest tenth?

Question

Given: ΔABC ≅ ΔEFD
 
What is the length of Segment line FE rounded to the nearest tenth?

anonymous · Answer

attachment

anonymous · Answer

i need help with not only the answer but how to get it, and what steps to take

phi · Answer

as you see, triangle EFD has no numbers. But it is congruent to the other triangle ABC
side FE corresponds to one of the sides of ABC.  Can you tell which side of ABC it is ?

anonymous · Answer

AB!!

anonymous · Answer

@phi

phi · Answer

yes.  so the length of AB is the same as the length of FE.

do you know the distance formula,  to find the distance between points A and B ?

anonymous · Answer

y^2-y^1
X^2-x^1?

phi · Answer

almost. when you have time, watch http://www.khanacademy.org/math/trigonometry/graphs/midpoint_and_distance/v/distance-formula but the distance is $$ \sqrt{ (x_2-x_1)^2 + (y_2 - y_1)^2} $$

phi · Answer

point B is (2,4)
point A is (0,2)

anonymous · Answer

0-2=-2*-2=4
2-4=-2*-2=4
4+4=8
8sqrt= 2.82842712474619

phi · Answer

ok , now rounded to the nearest tenth

anonymous · Answer

2.8

phi · Answer

to round, look at the number one past the tenths place.  it is 2. so just drop all the digits past 2.8

anonymous · Answer

got that

anonymous · Answer

is that the answer?

phi · Answer

yes.  that is the length of AB, which is also the length of FE

anonymous · Answer

oh woaw that was acually easy! THANK YOU FOR YOUR HELP!!!!

phi · Answer

yw