Which 3 lengths can not be lengths of the sides of a triangle?
Correct answer: Given the Triangle Inequality, the sum of any two sides of a triangle must be greater than the third side. Therefore, these lengths cannot represent a triangle.
Which choice shows three lengths Cannot?
It is impossible in a triangle. The answer is B.
What lengths Cannot be the sides of a triangle?
According to the first triangle inequality theorem, the lengths of any two sides of a triangle must add up to more than the length of the third side. This means that you cannot draw a triangle that has side lengths 2, 7 and 12, for instance, since 2 + 7 is less than 12.
Which 3 lengths could be the lengths of the sides of a triangle?
Answer: (a,b,c) can be the sides of a triangle if and only if the sum of two sides is always greater than the third side and the difference of the two sides is less than the third side. Let us see the nature of the sides of a triangle using the triangle inequality theorem.
Can 3 lengths be a triangle?
Can three equal side lengths form a triangle? Yes. It’s called an equilateral triangle, and it can work because two side lengths added together are bigger than the third side.
Which sets of measurements could be the side lengths of a triangle?
The sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Since, 11 + 21 > 16, 11 + 16 > 21, and 16 + 21 > 11, you can form a triangle with side lengths 11 mm, 21 mm, and 16 mm.
Which conditions will result in the construction of a unique triangle select all that apply?
A unique triangle will be produced if you are given:
- all three sides (Side-Side-Side)
- two sides and the included angle (Side-Angle-Side)
- two angles and the included side (Angle-Side-Angle)
What is the third side of a triangle rule?
The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
Where can you find the longest side of a triangle?
The longest side of a triangle is the side opposite the largest angle. For the given angles this would be the side opposite angle A.
Which three lengths could be the length of the sides of a triangle 11cm 11cm 24cm?
The answer is B. 18cm, 12cm, and 9cm.
Which is three lengths cannot be the lengths of the sides?
A)25 m, 16 m, 10 m B)15 m, 13 m, 12 m C)18 m, 5 m, 10 m D)8 m, 8 m, 15 m The perimeter of a triangle is 19 cm. If the length of the longest side is twice that of the shortest side and 3 cm less than the sum of the lengths of the other two sides, find the lengths of the three sides
What are the specifications for drawing a triangle?
Carl is asked to draw a triangle with the following specifications: -all sides have whole number lengths in centimeters -the sum of the lengths of the two shortest sides equals 9 centimeters -when the side lengths are placed in An angle bisector of a triangle divides the opposite side of the triangle into segments 6 cm and 5 cm long.
How to classify a triangle by side length?
Classify the triangle according to side length and angle 3. Classify the triangle with side lengths 4,4, and 4 4. Classify the triangle with the measuring if two triangles are similar, what can you say about the ratios of the two side lengths within one triangle and the ratios of the corresponding side lengths in the other triangle?
How to calculate the area of a triangle with 3 equal sides?
The area of a triangle with 3 equal sides can be calculated with the formula Area = √3 / 4 a 2, where a is the length of one of the sides. Alternatively, Heron’s formula for an equilateral triangle is Area = √(s(s-a) 3 ), where a is the side length and s = 3a / 2 .