# Is it possible to have a triangle such that the sum of the measures of the small and medium sides is equal to the measure of the large side?

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## Is it possible to have a triangle such that the sum of the measures of the small and medium sides is equal to the measure of the large side?

Is it possible to have a triangle such that the sum of the measures of the small and medium sides is equal to the measure of the large side? Explain. No, it is not possible.

## Is it possible to form a triangle with the given side lengths 3/4 6?

Triangle Inequality Theorem states that any side of a triangle must be shorter than the sum of the other two sides. Since these are all true, the lengths of 3,4, and 6 will form a triangle.

Is it possible to construct a triangle with side lengths of 3/6 and 9 units if not explain why not?

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side. Since 3 + 6 = 9, the third side, we cannot form a triangle with sides measuring 3, 6, 9.

### Can a triangle be formed with side lengths 17 9 30?

No; The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

### Does a triangle with side lengths 15 12 9 exist?

Therefore yes, it is a right triangle.

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

SOLUTION: The sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Since , you can not form a triangle with side lengths 9.9 cm, 1.1 cm, and 8.2 cm. ANSWER: No; The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

## Is it possible to make a triangle if the sum of the lengths of its two sides is equal to the length of the third side?

The sum of the lengths of 2 sides of a triangle must be greater than—but not equal to—the length of the third side. Further, the third side must be longer than the difference between the greater and the lesser of the other two sides; therefore, 20 is the only possible answer.

## Is it possible to make a triangle with given side lengths?

Can 3cm 3cm 6CM make a triangle?

As We Know Sum Of Two Sides Of A Triangle Must Be Greater Than The Third Side . The Given Measurements Are 2cm , 3cm And 6cm . Hence A Triangle Cannot Be Constructed .

### Can you draw more than one triangle with three sides?

It is possible to draw more than one triangle that has three sides with the given lengths. For example in the figure below, given the base AB, you can draw four triangles that meet the requirements. All four are correct in that they satisfy the requirements, and are congruent to each other. Note: This construction is not always possible

### How are the sides and angles of a triangle added up?

Angles and Sides of a Triangle. The interior angles of a triangle are always added up to 180 degrees. The exterior angle of a triangle is equal to the sum of the two interior angles that are not adjacent to it. The sum of the lengths of any two sides of a triangle is always larger than the length of the third.

How is the law of sines used to calculate a triangle?

Law of sines: the ratio of the length of a side of a triangle to the sine of its opposite angle is constant. Using the law of sines makes it possible to find unknown angles and sides of a triangle given enough information.

## How to calculate the exterior angle of a triangle?

Another way to calculate the exterior angle of a triangle is to subtract the angle of the vertex of interest from 180°. The sum of the lengths of any two sides of a triangle is always larger than the length of the third side