Table of Contents

## What is the longest possible side of a triangle?

In geometry, a hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle.

## Which three lengths could be the sides of a triangle?

Answer: (a,b,c) can be the sides of a triangle if and only if the sum of two sides is always greater than the third side and the difference of the two sides is less than the third side.

**What are the rules of the lengths of a triangle?**

The sides of a triangle rule asserts that the sum of the lengths of any two sides of a triangle has to be greater than the length of the third side. See the side lengths of the acute triangle below. The sum of the lengths of the two shortest sides, 6 and 7, is 13.

**What is the M ∠ ABC?**

Measure of an angle When we say ‘the angle ABC’ we mean the actual angle object. If we want to talk about the size, or measure, of the angle in degrees, we should say ‘the measure of the angle ABC’ – often written m∠ABC.

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

Therefore yes, it is a right triangle.

### Do triangle sides equal 180?

No matter how you position the three sides of the triangle, the total degrees of all interior angles (the three angles inside the triangle) is always 180°.

**What is the length BC?**

The length of BC is 10 cm. Since we know that tangents from external point is always equal.

**What is the ratio of the sides of a 30-60-90 triangle?**

1:√3: 2

In a 30-60-90 triangle, the ratio of the sides is always in the ratio of 1:√3: 2. This is also known as the 30-60-90 triangle formula for sides.

## How do you determine the side lengths of a triangle?

Possible side lengths of a triangle are determined by the triangle inequality: a+b>c. where a and b are the shorter sides, (i.e. c is the longest side). Note that equality does not hold, because it will make a “triangle” with an angle equal to zero degrees.

## What triangle has two equal sides and one longer one?

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.

**Can triangle have sides with the given lengths?**

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 congruentto each other.

**Can triangle have two sides the same length?**

An EQUILATERAL triangle has all three sides the same length. An ISOSCELES triangle has two sides with the same length. A SCALENE triangle has all three sides different lengths.