# Which is the longest side of triangle ABC right angled at a?

Contents

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 longest side of a right triangle called?

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

QR is the longest side of the right angled triangle with P at 90 degrees. QR is the hypotenuse.

## Which is the longest side?

Hint: In a right angle triangle, hypotenuse is the longest side. The sum of base and perpendicular is always greater than hypotenuse.

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## Which is the shortest side in right angle 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.

## What do you call the sides of a right triangle?

In a right triangle, the hypotenuse is the longest side, an “opposite” side is the one across from a given angle, and an “adjacent” side is next to a given angle. … The hypotenuse of a right triangle is always the side opposite the right angle.

## Can you have a triangle with two right angles?

No, a triangle can never have 2 right angles. A triangle has exactly 3 sides and the sum of interior angles sum up to 180°. … Thus, it is not possible to have a triangle with 2 right angles.

## How many obtuse angles can a right triangle have?

There can only be one obtuse angle in any triangle. This is because the measures of the interior angles of a triangle always must add up to 180…

## What is the maximum number of right angles a triangle can have?

Explanation: A triangle has 180o as the sum of all its internal angles, no more, no less. If one angle is 90o , then you can have two 45o angles, one 30o and a 60o , an 81o and a 9o – pretty much any combination of numbers adding up to 90 to make the total 90+90=180 .

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

Example

1. Step 1 The two sides we know are Opposite (300) and Adjacent (400).
2. Step 2 SOHCAHTOA tells us we must use Tangent.
3. Step 3 Calculate Opposite/Adjacent = 300/400 = 0.75.
4. Step 4 Find the angle from your calculator using tan-1
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## What are the two 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.

## Is Pythagoras only for right angled triangles?

Pythagoras’ Theorem relates the lengths of the sides in a right-angled triangle. A right-angled triangle has one angle of 90°. The side opposite the right angle is always the longest side, and is called the hypotenuse.

Question 2.

(a) (i) calculate the area of square A cm²
(v) Is the triangle right-angled? Yes No

## Which of the following Cannot be the sides of a right triangle?

Answer. The measurements 1, 2, 3 cannot be the sides of the triangle. From the given options, options (a), (b), (c) satisfy this property. Hence, they can be sides of a triangle.

## Which is the greatest side of the right angle triangle?

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

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