Question

Anton has 4 tiles.
One is a regular hexagon, one is a regular pentagon and two are equilateral triangles.
Anton thinks the 4 tiles will fit together perfectly, as shown in the diagram.
Show calculations to prove that he is wrong.

Answer 1

Answer:

HE IS WRONG BECAUSE-

• The side of the equilateral triangle is not of the same length of the Pentagon and hexagon.

Let side of eq. triangle be x

And length of Pentagon be y

And length of hexagon be a.

According to the IMAGE, The length of Pentagon and hexagon should be eq. to length of eq. but it isn't that is...

a>y ,but a SHOULD be equal to y.

Also a ,y,x should be of eq. length

Answer 2

Answer:

Anthon is wrong (il dit des carabistouilles)

Step-by-step explanation:

It is a question of angle.

$\widehat{\gamma}=180^o-\dfrac{360^o}{5} =108^o\\\\\widehat{\beta}=180^o-108^o=72^o\ and\ not\ 60^o$