## What are the inequalities in two triangle?

The SAS Inequality Theorem helps you figure out one angle of a triangle if you know about the sides that touch it. The theorem states that if two sides of triangle A are congruent to two sides of triangle B, and the angle between them is bigger in triangle A, then the third side of triangle A is bigger.

### What is the formula for triangle inequality?

According to the triangle inequality theorem, the sum of any two sides of a triangle is greater than or equal to the third side of a triangle. This statement can symbolically be represented as; a + b > c. a + c > b.

#### What inequality theorem is applicable in two triangles?

According to triangle inequality theorem, for any given triangle, the sum of two sides of a triangle is always greater than the third side.

**What is triangle inequality property?**

triangle inequality, in Euclidean geometry, theorem that the sum of any two sides of a triangle is greater than or equal to the third side; in symbols, a + b ≥ c. In essence, the theorem states that the shortest distance between two points is a straight line.

**What is triangle inequality theorem 1?**

## Which side of ∆ set is the longest?

The hypotenuse is always the longest side in a right triangle because it is opposite of the largest angle, the ninety degree angle.

### How does triangle inequality work?

The Triangle Inequality theorem states that in any triangle, the sum of any two sides must be greater than the third side. In a triangle, two arcs will intersect only if the sum of the radii of the two arcs is greater than the distance between the centers of the arc.

#### How does the triangle inequality theorem work?

**Why does the triangle inequality work?**

Any side of a triangle must be shorter than the other two sides added together. If a side is equal to the other two sides it is not a triangle (just a straight line back and forth).

**Can a triangle be formed with side lengths of 4/5 and 7 units?**

, you can form a triangle with side lengths . ANSWER: Yes; Find the range for the measure of the third side of a triangle given the measures of two sides.

## Which of the following is triangle inequality?

The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

### Can the sides of a triangle have lengths 1 7 and 7?

It’s actually not possible! It turns out that there are some rules about the side lengths of triangles. You can’t just make up 3 random numbers and have a triangle! You could end up with 3 lines like those pictured above that cannot be connected to form a triangle.

#### How do you find the hypotenuse with opposite angles?

If you have an angle and the side opposite to it, you can divide the side length by sin(θ) to get the hypotenuse. Alternatively, divide the length by tan(θ) to get the length of the side adjacent to the angle.

**What is the largest angle in ∆ you?**

The largest angle is 5 times the smallest angle, so the largest angle is 5x degrees. So the smallest angle measures 24 degrees….

words | check |
---|---|

The largest angle of a triangle is 5 times as big as the smallest angle. | Is 120 five times as big as 24? Yes! |

**Can a triangle be 7 5 4 sides?**

If not, explain why not. SOLUTION: No; . The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

## Can 12cm 7cm 5cm make a triangle?

Thus, the sum of two of these numbers is not greater than the third . Hence, it is not possible to draw a triangle whose sides are \(5\ cm,7 \ cm ,12 \ cm\).

### Can the sides of a triangle have lengths 5’7 and 20?

Correct answer: 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.

#### How do you find the length of a side of a triangle with an angle and a side?

**Where is the hypotenuse located?**

The hypotenuse of a right triangle is always the side opposite the right angle. It is the longest side in a right triangle. The other two sides are called the opposite and adjacent sides. These sides are labeled in relation to an angle.

**How many angles are in a triangle?**

three angles

A Triangle has three angles A, B, and C.

## How do you find the third side of an inequality of a triangle?

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.

- So, difference of two sides
- Therefore, 9−3
- 6