Is C always the biggest side?

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

How do you know which triangle side is the longest?

The longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.

Is side C always the hypotenuse?

NOTE: The side “c” is always the side opposite the right angle. Side “c” is called the hypotenuse. The sides adjacent to the right angle are named “a” and “b”.

Is C squared the longest side?

You go opposite the right angle. The longest side, the hypotenuse, is right there. So if we think about the Pythagorean theorem– that A squared plus B squared is equal to C squared– 12 you could view as C. This is the hypotenuse.

Which type of triangle will be constructed if C be the longest of the sides a B and C of a triangle and a2 b2 c2?

Pythagorean theorem: If a triangle is a right triangle (has a right angle), then a2+b2=c2. Converse: If a2+b2=c2 in a triangle with c is the longest side, then a triangle is a right triangle.

How do you find the sides of a triangle from shortest to longest?

To put the sides in order of longest to shortest, first find the largest angle — the longest side is opposite this angle. Then, find the second largest angle and the side opposite from it to find the next largest angle, and finally, the shortest side will be opposite the smallest angle.

Which letter stands for the longest side in the right angled triangle?

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

Is triangle ABC a right triangle?

Although the triangle ABC is not a right triangle, it does break into two right triangles. You can use tangents to find the two parts of the side AB and add them together. 67. An equilateral triangle ABC has three 60° vertex angles.

What is the name for the longest side in a right triangle?

We define the side of the triangle opposite from the right angle to be the hypotenuse, h. It is the longest side of the three sides of the right triangle. The word “hypotenuse” comes from two Greek words meaning “to stretch”, since this is the longest side.

Which side of a triangle is always the longest?

C is the hypotenuse, which is the side opposite the right angle, and it’s always the longest side. Note, this theorem does not work on any triangle that does not include a right angle. Tired of work overload?

How do you find the shortest side of a triangle?

In such a triangle, the shortest side is always opposite the smallest angle. (These are shown in bold color above) Similarly, the longest side is opposite the largest angle. In the figure above, drag any vertex of the triangle and see that whichever side is the shortest, the opposite angle is also the smallest.

Which side of a triangle is opposite the midsize side?

If the smallest side is opposite the smallest angle, and the longest is opposite the largest angle, then it follows that since a triangle only has three sides, the midsize side is opposite the midsize angle.

How do you find the value of C^2 from a triangle?

According to this law, if a triangle had sides of length a, b and c, and the angle across from the side of length c is C, then c^2 = a^2 + b^2 – 2abcosC.