Question

2. 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.

(a) Could the third side of the reflective sticker be 6 cm long? Explain your reasoning. If this third side is possible, draw the triangle.

(b) Could the third side of the reflective sticker be 1 cm long? Explain your reasoning. If this third side is possible, draw the triangle.

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