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Can a triangle exist whose sum of two sides is equal to third side?
Wiki User
∙ 11y ago
No. No Triangle exists where the sum of 2 sides of the triangle is either equal to the third side or is less than the third side.
Even, if we consider Right-Angled Triangle, then according to Pythagoras Theorem, c2= a2+b2, where c=Hypotenuse, a and b are the other 2 sides of the triangle. Now, if we consider the minimum +ve value of a and b which is greater than 0, i.e, if we consider a = 1 unit and b = 1 unit, then the value of
c = square-root of (1^2 + 1^2) = square-root of (1 + 1 ) = square-root of (2) which is < than the sum of the value of side a and b. Since the value of square-root is additive in nature, for any +ve value of a and b, this result stands true.
Hence, The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the the measure of the third side. This rule must be satisfied for all 3 permutations of the sides. In other words, as soon as you know that the sum of 2 sides is less than the measure of a third side, then you know that the sides do not make up a triangle .
Regards,
Suvarthi Das
Birati, Kolkata-81
Wiki User
∙ 11y ago
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in which the sum of two sides less than or equal to the third side.
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If two sides of a triangle equal 45 what does the third equal and what kind of triangle is this?
If two sides of a triangle each have length of 45 units, then the triangle is isosceles,and the third side can have any length less than 90 units.
What type of triangle has only two sides with equal measures?
An isosceles triangle has two sides with equal measures. The third side can be any length.
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If two sides of a triangle are equal in length to the third side, then the triangle is equilateral, and all angles are 60 degrees.
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The third side would be either 5 or 8,as an isosceles triangle has 2 equal sides.
What is the third side an isosceles triangle?
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For a triangle to exist, the sum of the shorter two sides must be longer than the third side.
What is a triangle that has two sides the same and the therid different?
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How many congruent sides does a isosceles triangle have?
An isosceles triangle has two congruent sides.
