Can we say anything about the existence of a triangle having side-lengths. Class 7
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Can we say anything about the existence of a triangle having side-lengths. Class 7
Question 1.
Can we say anything about the existence of a triangle having side-lengths 3 cm, 3 cm and 7 cm? Verify your answer by construction. Class 7
Solution:
Triangle cannot be constructed. (Because (3 cm + 3 cm) < 7 cm).
Do as directed.
Question 2.
“In the rough diagram in Fig., is it possible to assign lengths in a different order such that the direct paths are always coming out to be shorter than the roundabout paths? If this is possible, then a triangle might exist.” Class 7
Solution:
Yes;
10 cm < 15 cm + 30 cm and 15 cm < 10 cm + 30 cm.
Question 3.
Is such rearrangement of lengths possible in the triangle? Class 7
Solution:
No.