I need help on a geometry question and want to know how to do it?

Question

anonymous · Answer

screenshot attached

anonymous · Answer

@satellite73 @dezz_theoffical101

anonymous · Answer

@ganeshie8

shadowlegendx · Answer

Can you tell me which length is DE congruent to?

anonymous · Answer

BA?

shadowlegendx · Answer

Why do you think it is BA?

anonymous · Answer

Both the same length or am I missing something?

shadowlegendx · Answer

DE is congruent to BC

shadowlegendx · Answer

So, now we just need to find the length of BC, using the given points, and we will find the length of DE

shadowlegendx · Answer

Do you remember the Distance Formula?

anonymous · Answer

No I do not :/

shadowlegendx · Answer

attachment

shadowlegendx · Answer

We have points (2, 4) and (3,1)

We just have to input them into our formula

$$d = \sqrt({x _{2}} - x _{1})^{2} + (y _{2} - y _{1})^{2}$$

shadowlegendx · Answer

d = distance

shadowlegendx · Answer

$$d =\sqrt{(3 - 2)^{2}} + (1 - 4)^{2} $$

shadowlegendx · Answer

Now we just evaluate

(3 - 2)^2 = 1

(1 - 4)^2 = 9

9 + 1 = 10

Sqrt of 10 = 3.16227766017

anonymous · Answer

sorry openstudy is messing up

shadowlegendx · Answer

Now we need that number to the nearest 10th

shadowlegendx · Answer

Can you round 3.16227766017 to the nearest tenth?

anonymous · Answer

sorry openstudy is messing up and 3.2?

shadowlegendx · Answer

Yesh

anaise · Answer

triangles r bad....r u with those triangle worshipers

shadowlegendx · Answer

Anaise wut u doing here. Get ur booty outa here!

anaise · Answer

-_- ye ignore him......R U A TRIANGLE WORSHIPER

anonymous · Answer

thanks :)