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 labeled c. The other two sides are called the legs of the triangle.
Which side of triangle ABC is the longest?
Since ∆ABC is right angled triangle, so hypotenuse will be the longest side. Hence, hypotenuse BC is the longest side.
Is Side C on a right triangle always the longest?
In this right triangle, you are given the measurements for the hypotenuse, c, and one leg, b. The hypotenuse is always opposite the right angle and it is always the longest side of the triangle.
What is the length of the longest side of a right triangle?
The length of the hypotenuse of a right triangle can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides.
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.
Which side of ABC is the longest apex?
⇒ BC > CA > AB. Hence, the longest sides of triangle ABC is BC.
Which side of triangle XYZ is the longest?
Angle Z in the given triangle is the largest angle and therefore, the side opposite to this angle is the longest side of the triangle. Hence, XY is the longest side in the given ΔXYZ.
What is the shortest side of a right 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.
Does 20 25 and 15 represent a right triangle?
The largest length is always the hypotenuse. If we were to multiply any triple by a constant, this new triple would still represent sides of a right triangle. Therefore, 6, 8, 10 and 15, 20, 25, among countless others, would represent sides of a right triangle.
What is the C side of a triangle?
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 labeled c. The other two sides are called the legs of the triangle.
What are the side lengths of a 30 60 90?
A 30-60-90 triangle is a special right triangle whose angles are 30º, 60º, and 90º. The triangle is special because its side lengths are always in the ratio of 1: √3:2. Any triangle of the form 30-60-90 can be solved without applying long-step methods such as the Pythagorean Theorem and trigonometric functions.
Does 9 12 15 make a right triangle?
The three sides 9 in, 12 in, and 15 in do represent a right triangle. Since the square of the hypotenuse is equal to the sum of the squares of the other two sides, this is a right triangle.
How do you find the longest side of a right angled triangle?
The longest side of a right- angled triangle is called the hypotenuse, which is always opposite the right-angle. In any right- angled triangle,the area of the square on the hypotenuse is equal to the sum of the areas of the squares on the other sides.
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.
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Question 2.
| (a) | (i) calculate the area of square A cm² |
|---|---|
| (v) Is the triangle right-angled? Yes No |
Which is the greatest side of the right angle triangle?
In a right angle triangle, the hypotenuse is the greatest side.
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.