CAn you solve this!?!??!?

Question

If the height of a triangle is 1cm and the base is 5cm how many different triangles can you create? WHY? Explain.

Answer 1

Favorite Answer

An infinite number

                      B        E        F

                  ⁄    | \    •  |        /|

               ⁄       |  •\        |   ˣ   /  |

            ⁄        • |    \ ˣ   |    /    |

         ⁄      •    ˣ  |      \  |  /      |

      ⁄ θ ) ˣ_____|____    \|/        |

     A               D        C       G

Compare triangles ABC and AEC and AFC

     The heights are the same = BD = EC = FG

     The bases are the same = AC = AC = AC

... and there are an infinite number of triangle in between.

Answer 2

Infinitely many triangles can be constructed from dimensions of the base of 5 cm and height of 1 cm. Slide the base left or right and keep the same height. There can be infinite numbers of triangles with the same area, height, and base.

Source(s): http://www.proofwiki.org/wiki/Triangles_with_Same_...

Answer 3

Someone just gave a good answer for this question a few minutes ago (although they had a typo and made the light parallel line 5 cm from the base and not 1 cm).