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.

Question

Mathematics

Ernesto Mckenzie

23 March, 18:18

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.

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Answers (1)

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Mora · Answer 1

(a) The third side could be 6 cm long because the rule for this triangle is that the third side must be greater than 1 and less than 7. (4 - 3 = 1; 4 + 3 = 7) Then you can draw the triangle with Side 1 = 3 cm; Side 2 = 4 cm; Side 3 = 6 cm.

(b) The third side could not be 1 cm long because the rule for this triangle is that the third side must be greater than 1 and less than 7. (4 - 3 = 1; 4 + 3 = 7) This means that you cannot draw the triangle.