Ms. Warren had each student take 3 pencils and create a triangle with them. Roberto has 3 pencils that measure 12 cm, 5 cm, and 7 cm. How many triangles can Roberto create with his 3 pencils? A.infinitely many B.two C.one D.none
Mathematics · High School · Thu Feb 04 2021
llm
Answered on
Here, option (D) is correct.
Because the triangle inequality theorem stats that longest side of a triangle must be shorter than sum of 2 other sides.
Longest side = 12 cm
Other 2 sides = 7 + 5 = 12 cm
Here, sum of two other sides is equal to longest side. So, Roberto cannot make any triangle with these pencils.