What is the longest side of triangle ABC?

The sides of a right triangle have different names: The longest side, opposite the right angle, is called the hypotenuse. In the diagram, the hypotenuse is labelled c.

Keeping this in view, which is the longest side in the triangle ABC right angled at B?

AC is the longest side as the triangle is a right - angled triangle and the side opposite to the right angle of a right angled triangle is always called Hypotenuse and it is always the longest side. Here the side opposite to right angle(angle B)is AC.So, it is Hypotenuse and hence, is longest.

Beside above, 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.

Keeping this in consideration, which side of a Def is the longest?

Answer Expert Verified Side opposite to greatest angle is the longest side.

What is a scalene triangle?

Scalene Triangle. A scalene triangle is a triangle that has three unequal sides, such as those illustrated above. SEE ALSO: Acute Triangle, Equilateral Triangle, Isosceles Triangle, Obtuse Triangle, Triangle. CITE THIS AS: Weisstein, Eric W. "

How do you find the angle of a triangle given two sides?

"SAS" is when we know two sides and the angle between them. use The Law of Cosines to calculate the unknown side, then use The Law of Sines to find the smaller of the other two angles, and then use the three angles add to 180° to find the last angle.

Is adjacent the shortest side?

The shortest side is the one opposite the smallest angle. 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.

How do we find the perimeter of a triangle?

Finding the Perimeter When Three Side Lengths are Known. Remember the formula for finding the perimeter of a triangle. For a triangle with sides a, b and c, the perimeter P is defined as: P = a + b + c.

How do you find an angle of a triangle with 3 sides?

To solve an SSS triangle:

use The Law of Cosines first to calculate one of the angles.
then use The Law of Cosines again to find another angle.
and finally use angles of a triangle add to 180° to find the last angle.

Which triangle has the greatest area?

Among all triangles inscribed in a given circle, the equilateral one has the largest area. Among all triangles inscribed in a given circle, the equilateral one has the largest area.

What is the largest angle in a right triangle?

In a right angled triangle, one of the angle is 90 and the sum of the other two angles is equal to 90, thus the other two angles less than 90. (The sum of all three angles is 180). Therefore, 90 is the largest angle.

How do you prove that it is a right angled triangle?

Right-angled triangles. Pythagoras' theorem states that for all right-angled triangles, 'The square on the hypotenuse is equal to the sum of the squares on the other two sides'. The hypotenuse is the longest side and it's always opposite the right angle. is a right angle.

What is the median of a triangle?

In geometry, a median of a triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side. Every triangle has exactly three medians, one from each vertex, and they all intersect each other at the triangle's centroid.

What is the mean given to the longest side of a right angled triangle?

The side opposite the right angle. In a right triangle (one where one interior angle is 90°), the longest side is called the hypotenuse. It is always the side opposite the 90° angle. See Right Triangle definition.

Is hypotenuse the longest side of the triangle?

In any triangle, the longest side is opposite the largest angle, and the shortest side is opposite the smallest angle. Thus, in a right triangle, the hypotenuse is always the longest side. the sum of the squares of the shorter sides is equal to the square of the hypotenuse.

Which theorems do we use in proving that hypotenuse is the longest side of a right angled triangle?

Thales' theorem doesn't prove Pythagoras' theorem as far as I know. It proves that c2=a2+b2 c 2 = a 2 + b 2 where c is the length of the side of the triangle opposite the right angle, and a and b are the lengths of the other two sides.

Which is the longest side in the triangle PQR right angled at P?

hypotenuse