Which is the longest side of a right triangle?a)Hypotenuseb)Perpendicularc)Based)None of theseCorrect answer is option 'A'. Can you explain this answer?

Question

Answer

Hypotenuse

Answer

Hypotenuse is the longest side of a right triangle so the option is the correct answer

Answer

Hypotenuse is also a big side of rectangle

Answer

Longest side of right angled triangle is hypotenuse. Because a2+b2=c2,  means sum of square of two legs of right angled triangle is equal square of hypotenuse.

Answer

The longest side of a right triangle is called the hypotenuse.

Understanding a right triangle:
A right triangle is a type of triangle that has one angle measuring 90 degrees (a right angle). The other two angles are acute angles, meaning they are less than 90 degrees. In a right triangle, one side is perpendicular to the base, forming the right angle.

Explaining the sides of a right triangle:
To understand which side is the longest, let's first identify the different sides of a right triangle:

1. Hypotenuse: The hypotenuse is the side opposite the right angle and is the longest side in a right triangle. It is also the side that connects the two non-right angles.

2. Perpendicular: The perpendicular side is the side that forms the right angle with the base. It is also referred to as the height or altitude of the triangle.

3. Base: The base is the side on which the triangle rests. It is the side that is not directly involved in forming the right angle.

Understanding the hypotenuse:
The hypotenuse gets its name from the Greek words 'hypo' meaning 'under' and 'tenuse' meaning 'to stretch.' It is the longest side of a right triangle because it stretches across the triangle, connecting the two non-right angles.

Applying the Pythagorean theorem:
The length of the hypotenuse can be calculated using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Using the Pythagorean theorem, we can find the length of the hypotenuse given the lengths of the other two sides. This is particularly useful when solving real-life problems involving right triangles, such as finding the distance between two points on a coordinate plane.

Conclusion:
In summary, the longest side of a right triangle is the hypotenuse. It is the side opposite the right angle and stretches across the triangle, connecting the two non-right angles. The length of the hypotenuse can be calculated using the Pythagorean theorem.

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