1. Two sides of a triangle are 5 cm and 9 cm long. Between what two measures should the length of the third side fall? Also write the property used .
Answers
Answer:
I don't know
Step-by-step explanation:
the sorry...
Given :- Two sides of a triangle are 5 cm and 9 cm long.
To Find :- Between what two measures should the length of the third side fall ?
Concept used :-
- Sum of any two sides of a ∆ is greater than the third side .
- Difference between any two sides of a ∆ is smaller than the third side .
Solution :-
Let us assume that, the third side of the given triangle is equal to x cm .
Case 1) :- Sum of any two sides of given triangle is greater than the third side .
So,
→ First side = 5 cm
→ Second side = 9 cm
→ Third side = x cm .
then,
→ 5 + 9 > x
→ 14 > x ------------ Equation (1)
or,
→ 5 + x > 9
→ 9 + x > 5
Case 2) :- Difference between any two sides of given triangle is smaller than the third side .
So,
→ 9 - 5 < x
→ 4 < x ------------ Equation (2)
→ 9 - x < 5
→ x - 5 < 9
from Equation (1) and Equation (2) we get,
→ 4 < x < 14
therefore, third side of the given triangle should fall between 4 cm and 14 cm .
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