Question

Darius 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?

Segment AB is 8 + 6 + 8 = 22.

Segment AB is 8 + 8 + 8 = 24.

Segment AB ˜ 8 + 9.6 + 8 ˜ 25.6.

Segment AB ˜ 8 + 12.8 + 8 ˜ 28.8.

Answer 1

Segment AB ˜ 8 + 9.6 + 8 ˜ 25.6.??

Answer 2

AB=8+6+8=22
6 we get from pythagoras theorem
\[\sqrt{10^{2}+8^{2}}\]=6

Answer 3

so its A?

Answer 4

yup :)