Table of Contents

- 1 How do you find the third side of a triangle given two sides?
- 2 How do you find the length of a triangle given two sides and an angle?
- 3 What are adjacent sides?
- 4 What is the ASA formula?
- 5 What is the sum of all 3 sides of a triangle?
- 6 What is triangle inequality theorem 3?
- 7 Is the hypotenuse always the longest side of a triangle?
- 8 How to find the hypotenuse of an isosceles triangle?

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

Using the Law of Cosines to Find the Third Side

- Identify angle C. It is the angle whose measure you know.
- Identify a and b as the sides that are not across from angle C.
- Substitute the values into the Law of Cosines.
- Solve the equation for the missing side.

## How do you find the length of a triangle given two sides and an angle?

Key Takeaways

- The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2 , is used to find the length of any side of a right triangle.
- In a right triangle, one of the angles has a value of 90 degrees.
- The longest side of a right triangle is called the hypotenuse, and it is the side that is opposite the 90 degree angle.

**What is the rule for the third side of a triangle?**

The Formula 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. Note: This rule must be satisfied for all 3 conditions of the sides.

### What are adjacent sides?

Adjacent sides are sides of a polygon that have a common vertex.

### What is the ASA formula?

ASA formula is one of the criteria used to determine congruence. “if two angles of one triangle, and the side contained between these two angles, are respectively equal to two angles of another triangle and the side contained between them, then the two triangles will be congruent”.

**How do you find area with 3 sides?**

The area of an equilateral triangle can be calculated using the formula, Area = a2(√3/4), where ‘a’ is the side of the triangle. For example, if an equilateral triangle has a side of 6 units, its area will be calculated as follows. Area = a2(√3/4), Area = 62(√3/4) = 15.59 square units.

#### What is the sum of all 3 sides of a triangle?

180°

When it has three line segments joined end to end. Thus, we can say that a triangle is a polygon, which has three sides, three angles, three vertices and the sum of all three angles of any triangle equals 180°.

#### What is triangle inequality theorem 3?

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

**Is the hypotenuse opposite or adjacent to the angle?**

If the angle you already know is the shortest one, then the shortest side is opposite it. However, if the angle you already know is the medium one, then the shortest side is adjacent to it. The hypotenuse is always the longest side in a right triangle because it is opposite of the largest angle, the ninety degree angle.

## Is the hypotenuse always the longest side of a triangle?

Yes, the hypotenuse is always the longest side, but only for right angled triangles. For isosceles triangles, the two equal sides are known as the legs, while in an equilateral triangle all sides are known simply as sides. How do I find the hypotenuse adjacent and opposite? Find the longest side and label it the hypotenuse.

## How to find the hypotenuse of an isosceles triangle?

How do I find the hypotenuse of isosceles right triangle? 1 Find the length of one of the non-hypotenuse sides. 2 Square the length of the side. 3 Double the result of the previous step. 4 Square root the result of step 3. This is the length of the hypotenuse.

**Which is the longest side of a triangle?**

What is the hypotenuse of a triangle A hypotenuse is the longest side of a right triangle. It’s the side that is opposite to the right angle (90°). Hypotenuse length may be found, for example, from the Pythagorean theorem.