Question

Sandy made a reflective sticker for her bicycle in the shape of a triangle. two of the three side lengths were 3 cm and 4 cm. could the third side of the reflective sticker be 6 cm long? explain your reasoning. could the third side of the reflective sticker be 1 cm long? explain your reasoning. sandy decides to make the reflective sticker in the shape of an isosceles triangle. how many unique shapes for the sticker are possible? use a sketch to show your reasoning. label each side length.

Answer 1

the rule for side lengths of a triangle is that the two lowest lengths sum has to be greater than the longest length. so

a+b>c

For the 1st question
4+3>6
7>6
So yeah, it can be a triangle

For the 2nd one
1+3>4
4>4
So no, it can't be a triangle

Sandy has two possibilities

lengths of 3,3,4
or
lengths of 4,4,3