Which Is The Longest Side Of A Right Triangle Class 7?

by | Last updated on January 24, 2024

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In a right angle triangle, hypotenuse is the largest side.

How do you find the longest side of a right-angled triangle?

The longest side of a right triangle is called the hypotenuse, and it is the side that is opposite the 90 degree angle. If the length of the hypotenuse is labeled c , and the lengths of the other sides are labeled a and b , the Pythagorean Theorem states that a2+b2=c2 a 2 + b 2 = c 2 .

Is the longest side of 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.

What is the shortest side of a right triangle?

The angles in any triangle add up to 180°. 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.

Which leg is longer in a right triangle?

The hypotenuse is the longest side in a right triangle, which is different from the long leg. The long leg is the leg opposite the 60-degree angle.

What is the shortest side of a 30 60 90 triangle?

Because it is a special triangle, it also has side length values which are always in a consistent relationship with one another. And so on. The side opposite the 30° angle is always the smallest , because 30 degrees is the smallest angle.

What are the 2 shorter sides of a right triangle called?

For a right triangle, the side that is opposite of the right angle is called the hypotenuse. This side will always be the longest side of the right triangle. The other two (shorter) sides are called legs .

What is called the longest side of a right angle triangle?

The hypotenuse of a right triangle is always the side opposite the right angle. It is the longest side in a right triangle. The other two sides are called the opposite and adjacent sides.

What is the largest angle in a right triangle?

The right triangle properties are listed below: The largest angle is always 90o . The largest side is called the hypotenuse which is always the side opposite to the right angle. The measurements of the sides follow the Pythagoras rule.

How many acute angles can a right triangle have 1 point?

A right triangle can, and must, have exactly two acute angles . To see this, just remember that the sum of the angles of a triangle must be 180∘ . As a right triangle has one angle equal to 90∘ , this means the sum of the remaining two angles must be 180∘−90∘=90∘ .

Are 2 sides equal in a right triangle?

A right triangle has one angle equal to 90 degrees. A right triangle can also be an isosceles triangle –which means that it has two sides that are equal. A right isosceles triangle has a 90-degree angle and two 45-degree angles. This is the only right triangle that is an isosceles triangle.

Is side A always longer than side B in a right triangle?

2 Answers. Side A and B does not matter when your trying to apply this to the pythagorean theorem but side C must always be the hypotenuse . The hypotenuse is always the triangle’s longest side. It is opposite the right angle.

Does a right angle have to be 90 degrees?

Is a Right Angle Only 90 Degrees? Yes, a right angle is always equal to 90° . It can never be other than this angle and can be represented by π/2. Any angle less than 90° is an acute angle and greater than 90° can be obtuse, straight, or a complete angle.

Which triangle is a 30 60 90 triangle?

The 30-60-90 triangle is called a special right triangle as the angles of this triangle are in a unique ratio of 1:2:3. Here, a right triangle means being any triangle that contains a 90° angle. A 30-60-90 triangle is a special right triangle that always has angles of measure 30°, 60°, and 90°.

Leah Jackson
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Leah Jackson
Leah is a relationship coach with over 10 years of experience working with couples and individuals to improve their relationships. She holds a degree in psychology and has trained with leading relationship experts such as John Gottman and Esther Perel. Leah is passionate about helping people build strong, healthy relationships and providing practical advice to overcome common relationship challenges.