Question

URGENT!! ANSWER FAST!!!

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

we know that
the lengths of any two sides of a triangle must add up to more than the length of the third side. (Triangle Inequality Theorem)

Part a) Could the third side of the reflective sticker be 6 cm long? Explain your reasoning. If this third side is possible,
we know that
3+4 > 6-------> 7 > 6-----> is ok
3+6 > 4------> 9 > 4-----> is ok
4+6 > 3-----> 10 > 3-----> is ok
see the attached figure

the answer Part a) is
the third side of the triangle can be 6 cm

Part b) Could the third side of the reflective sticker be 1 cm long? Explain your reasoning
3+4 > 1-------> 7 > 1-----> is not ok
it can't be a triangle

the answer Part b) is
the third side of the triangle can't be 1 cm