Question

Susan drew the diagram shown below and described it as an equilateral triangle with a square inside it. Point D is the midpoint of segment AC.
The geometry teacher pointed out that the triangle cannot be equilateral since side AC is not equal to AB.

Which statement best explains why the measurements are incorrect?

Answer 1

@Calcmathlete

Answer 2

Can you put up the choices?

Answer 3

of course hold on, sorry I forgot

Answer 4

Segment AB is 7 + 7 + 7 = 21.
Segment AB is 7 + 12 + 7 = 26.
Segment AB ≈ 7 + 3.1 + 7 ≈ 17.1.
Segment AB ≈ 7 + 9.7 + 7 ≈ 23.7.

Answer 5

Segment AB ≈ 7 + 9.7 + 7 ≈ 23.7.

Answer 6

Do you understand why?

Answer 7

how?

Answer 8

lol Same time.

Answer 9

How about I walk you through it?

Answer 10

sounds great ;)

Answer 11

Triangle ADE is a right triangle, so use Pythagorean Theorem to get the remaining side to the nearest tenth.

Answer 12

ok

Answer 13

Tell me get.

Answer 14

?

Answer 15

Tell me what you get

Answer 16

oh ok, lol had to read you reply two times

Answer 17

lol

Answer 18

a2+b2=c2
12+14=c2?

Answer 19

but theres a missing part in a triangle in side b

Answer 20

It's a^2 + b^2 = c^2.
7^2 + b^2 = 12^2
49 + b^2 = 144
b^2 = 95
b = √95
b ≈ 9.7

Answer 21

OoOoHHH

Answer 22

Then, since b is a side on the square, all of the other sides are equal to 9.7. That means that you can add up 7, 7, and 9.7

Answer 23

oh ok i see it now!

Answer 24

Then, double side AD because D is a midpoint, in order to get side AC.

Answer 25

24 ≠ 23.7

Answer 26

yea I got it now! THANX SO MUCH!

Answer 27

You're welcome :)

Answer 28

i have like 5 more questions..would you help?

Answer 29

I still havent posted them because im trying to figure it out