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 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.
How do you find the length of the longest side of a right angled triangle?
Use the Pythagorean theorem to calculate the hypotenuse from right triangle sides. Take a square root of sum of squares: c = √(a² + b²)
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.
How do you find the longest side of a triangle?
The longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle. Triangle Inequality: In any triangle, the sum of the lengths of any two sides is greater than the length of the third side. Pythagorean Theorem: In a right triangle with hypotenuse c, a2+b2=c2.
What do you call the side 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.
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.
How do you find the third side of a right triangle?
If a and b are the lengths of the legs of a right triangle and c is the length of the hypotenuse, then the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.
How do you find the short side of a 30 60 90 Triangle?
Divide the hypotenuse by 2 to find the short side. Multiply this answer by the square root of 3 to find the long leg. Type 3: You know the long leg (the side across from the 60-degree angle). Divide this side by the square root of 3 to find the short side.
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 of the following Cannot be the sides of a right triangle?
Answer. The measurements 1, 2, 3 cannot be the sides of the triangle.
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.
What is the rule for finding the missing side of a triangle?
Finding the missing side of a right triangle is a pretty simple matter if two sides are known. One of the more famous mathematical formulas is a2+b2=c2 a 2 + b 2 = c 2 , which is known as the Pythagorean Theorem.
What is the rule for side lengths of a triangle?
Triangle Inequality Theorem. The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
How do you find the side lengths of a triangle with all angles?
Answer: If you know two angles, then you can work out the third since all the angles sum to 180 degrees. If the sides are a, b and the hypotenuse is c (opposite angle A), and the angles are A, B and C, then Sin A = a/c, so a = cSin A. Also Cos A = b/c, so b = cCos A.