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Can the diffference of two sides of a triangle be equal to less than a third side?
Wiki User
∙ 14y ago
The difference between two sides of a triangle will always be less than the third side.
Let ABC be a triangle where AC > AB, extend side AB to point D so that AD = AB + (AC-AB) = AC. Therefore, since AC = AD, triangle ADC is a isosceles where angles ADC and ACD are equal.
In the triangle BCD, angle BCD < BDC, Since, angles BCD is part of angle ACD (ACB + BCD ) and angle ACD is equal to BDC .
Therefore, using the knowledge that, in a triangle, side opposite a greater angle is always greater than the side opposite a smaller angle, it is proved that, the difference between two sides is always lesser than the third side.
In an isosceles, the difference of two sides is zero, since the sides are equal. The third side would always be greater than zero to form a triangle. The same logic can be applied to an equilateral triangle.
Wiki User
∙ 14y ago
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If two sides of a triangle are 9 and 21 which is not a possible length for the third side?
the sum of two sides of the triangle should not be greater than the third side so it can not be less than 9 or higher than 30, also according to the second law.. in case of right angle traingle the square of two sides of a traingle shuld be equal to the third side.. here we dont know what type of triangle are you talking about so we need to expalin both the cases.
What are the angles in an isosceles triangle?
Two equal, acute angles and a third which is not equal to them.
If the measures of two angles of an isosceles triangle are 54 degrees and 63 degrees what is measure of the third angle?
The total internal angles of a triangle always equal 180 degrees. Therefore, the third angle of this triangle must be 180 - 54 - 63 = 63. Since this value is the same as one of the stated sides, the triangle is indeed isosceles.
Dwayne's garden is triangle-shaped with two equal sides and a third side that is 4 ft more than the length of an equal side If the perimeter is 49 ft how long is each side?
Call the two equal sides 2x and the third side x+4: 2x+x+4 = 49 2x+x = 49-4 3x = 45 x = 15 So the length of two equal sides are 15 ft each and the larger side is 19 ft (Incidentally the garden is in the shape of an isosceles triangle)
What is the measure of the third angle of the triangle?
The third angle of a triangle is equal to 180 degrees minus (the sum of the first two angles).
What is the name of a triangle that has 2 equal sides and 2 equal angels and the third angle obtuse?
The triangle is an isosceles triangle.
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.
If the sides of an isosceles triangle are 5 and 8 what is the third side?
The third side would be either 5 or 8,as an isosceles triangle has 2 equal sides.
What relationships exist between the two congruent sides of an isosceles triangle and its base?
The angles where the equal sides meet the third side of the triangle are equal angles.
What is the third side an isosceles triangle?
An isosceles triangle has 3 sides 2 of which are equal in length
What is a triangle that has two sides the same and the therid different?
It is an isosceles triangle that has two equal sides and the third side being different
How many congruent sides does a isosceles triangle have?
An isosceles triangle has two congruent sides.
Is equilateral triangle always an isosceles triangle?
If an isosceles triangle is defined as one which has two sides (or angles) equal, then YES. But if an isosceles triangle is defined as one which has two sides (or angles) equal, and the third side (angle) different, then NO.
What is the rule for the triangle in length and width?
A triangle has 3 sides. The sum of any two sides must be larger than or equal to the length of the third side, and the difference of any two sides must be less than or equal to the length of the third side.
Can the sum of two sides of a triangle be equal to the third side?
no it can not be eaual but it can be greater than The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
What triangle has two equal sides and one longer one?
An isosceles triangle. It is an isosceles triangle even if the third side is shorter.
