# How do you find the third side of a triangle given two sides?

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## How do you find the third side of a triangle given two sides?

Pythagorean Theorem for the Third Side of a Right Angle Triangle. The Pythagorean Theorem is used for finding the length of the hypotenuse of a right triangle. So, as long as you are given two lengths, you can use algebra and square roots to find the length of the missing side.

## Can the sides of a triangle have lengths 6 13 and 13?

Step-by-step explanation: By using the Triangle Inequality Theorem, we can say that the third side will be in between the SUM of the other two sides and DIfference of the other two sides. The other 2 sides given lengths are 6 & 13.

## Can a triangle have side lengths of 8 8 and 15?

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.

## What are the possible lengths of the third side of a triangle?

Explanation: 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.

## What could be the length of the third side of the triangle?

## Is it possible to construct a triangle with the given side lengths 8 9 15?

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 construct a triangle with side lengths of 3/6 and 9 units?

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.

## How long is the third side of a triangle?

We know the sum of the length of any two sides of a triangle is greater than the third side of the triangle. Here two sides is of length 7cm.and 8 cm. So the largest natural number to be the length of the third side if it is x, 7cm + 8 cm.>x, => x < 15 cm and the largest natural number less than 15 is 14 .

## What are the two sides of a triangle?

If two sides of a triangle measure 3 and 8, what is the range of possible lengths for the third side? 1. A+ B > C 2. B + C > A 3. A+ C > B

## How are the sides of a right triangle calculated?

A right triangle has two sides perpendicular to each other. Sides “a” and “b” are the perpendicular sides and side “c” is the hypothenuse. Enter the length of any two sides and leave the side to be calculated blank. Please check out also the Regular Triangle Calculator and the Irregular Triangle Calculator .

## Which is greater the sum of two sides of a triangle?

Explanation: The sum of the lengths of any two sides of a triangle must be greater than the third side. ⇒ the third side must be greater than 13−6 = 7, and the third side must be less than 6+13 = 19.

## Which is the length of the third side of a triangle?

The lengths of two sides of a triangle are 6 and 13. Which can be the length of the third side? Length of the third side will have a value between 7 and 19. The sum of the lengths of any two sides of a triangle must be greater than the third side.

## How to calculate the sides of a triangle?

Triangle Sides Calculator This calculator calculates for the length of one side of a right triangle given the length of the other two sides. A right triangle has two sides perpendicular to each other. Sides “a” and “b” are the perpendicular sides and side “c” is the hypothenuse.

## How to find the measure of the third side?

Let side a = 7. Let side b = 14. Then the triangle has sides a=7, b=14, and c=?. Any side of a triangle must be less than the other two sides added together, so a < b+c, b < a+c, and c < a+b Substituting: 7 < 14+c, 14 < 7+c, and c < 7+14 Solving all three for c: -7 < c, 7 < c, c < 21 The first one is of course true, so ignore it.

## Is there a third angle in a right triangle?

A right triangle has a built in third angle, as one of the angles has to be 90 degrees. Right Triangle Using Pythagorean Theorem Draw the triangle on your paper labeling the two sides adjacent to the right angle, or legs, “ a ” and “ b .” Label the hypotenuse, or third side “ c .”