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The length of the third side must be greater than the difference between the length of the two given sides and it must be less than the sum of the two given sides.

These limits can be derived from the fact that any two sides of a triangle must have a combined length greater than the third side.

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The lengths of the sides of triangle F'G'H' vary directly with the lengths of the corresponding sides of triangle FGH The constant of variation is 2.5 What is the length of side F'G'?

It is 2.5 times the length of FG. Since the latter length is not given, it is not possible to provide a more comprehensive answer.


How do you find the area of a triangle with side lengths?

If you are only given the side lengths of a scalene triangle, it is impossible for you to find for the area, unless you are given more information... like the height of the triangle for example. If this is a right triangle you would like to find the area of, you can multiply the length of each leg with each other, and then divide that product by 2 to conclude the area of the triangle.


What is the length of altitudeof an equilateral triangle with sides of 8?

Given side lengths of 8 units, an equilateral triangle will have an altitude of 7 (6.9282) units.


Is a triangle with sides of lengths 20 21 and 29 a right triangl?

Yes because the given dimensions comply with Pythagoras's theorem for a right angle triangle.


Why is triangle stronger than a rectangle?

Given unchanging lengths of the sides, a triangle cannot change its shape. But given unchanging lengths of the sides of a rectangle, it can change its shape by some force by changing its angle measurements. If a 2d load were put on a rectangle, enough force could squish the rectangle into a parallelogram, whereas a triangle cannot change shape without changing the lengths of its sides or bending its sides out of shape (most likely into a curve).Given these properties, a rectangle can collapse its shape much more easily and is flimsy compared to a triangle.

Related Questions

Is it possible to construct a triangle with the given side lengths 15 112 113?

Yes, it is possible.


Can the side lengths of 541 make a triangle?

If you mean side lengths of 5, 4 and 1 then it is not possible to construct any triangle from the given dimensions.


What is history of theodolite?

From geometry, we know that it is possible to calculate unknown lengths and angles of a triangle given particular information regarding the other angles and lengths of the sides of a triangle. For example, given beginning coordinates such as (x,y) in plane coordinates or the latitude and longitude, it is then possible to calculate new coordinates by measuring certain angles and distances (lengths of sides of a triangle).


How do you classify a triangle with 3 given side lengths?

That depends on what the side lengths are. Until the side lengths are known, the triangle can only be classified as a triangle.


What is the area of a figure with lengths of 2 7 and 10?

It is not possible to answer the question without information about the shape. The fact that there are three numbers given might suggest that it is a triangle. However the three lengths are not consistent with a triangle.


Is it possible to construct a triangle with the given side lengths 30 32 34?

Yes, it's entirely possible, and quite easy as well.


Is it possible to draw a triangle with 150 20 and 20?

No, it is not possible to draw a triangle with side lengths of 150, 20, and 20. In a triangle, the sum of the lengths of any two sides must be greater than the length of the third side according to the Triangle Inequality Theorem. In this case, 20 + 20 is less than 150, so the given side lengths do not satisfy this theorem, making it impossible to form a triangle.


Could 4 7 7 be side lengths of a triangle?

Yes and the given lengths would form an isosceles triangle.


Triangle side is 45 the other is 45 what is the third angle?

It is not possible to determine the measure of an angle if the lengths of two sides are given.


How can you tell if the given lengths can be the sides of a triangle?

you can fine the perimeter


Given two sides with lengths 34 and 14 which of the following lengths would NOT work for the third side of a triangle?

There are not any following lengths in the question to compare. Using the sizes given, and Pythagorean Theorem, the Hypotenuse of the triangle is 36.76 - which will have to do!


Can 7 40 41 be the side lengths of a right triangle?

No because the given lengths don't comply with Pythagoras' theorem for a right angle triangle.