How do you tell which side of a triangle is the longest?
Concepts
- 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.
How do you find the sides of a triangle?
How to find the sides of a right triangle
- if leg a is the missing side, then transform the equation to the form when a is on one side, and take a square root: a = √(c² – b²)
- if leg b is unknown, then. b = √(c² – a²)
- for hypotenuse c missing, the formula is. c = √(a² + b²)
What is the rule for triangle side lengths?
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 know which angle is bigger?
Can you determine which angle is the largest? As you might guess, the largest angle will be opposite 18 because it is the longest side. Similarly, the smallest angle will be opposite the shortest side, 7. Therefore, the angle measure in the middle will be opposite 13.
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.
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 is the sum of all 3 sides of a triangle?
No matter how you position the three sides of the triangle, the total degrees of all interior angles (the three angles inside the triangle) is always 180°. This property of a triangle’s interior angles is simply a specific example of the general rule for any polygon’s interior angles.
How do you find the side of a triangle given two sides and an angle?
“SAS” is when we know two sides and the angle between them. use The Law of Cosines to calculate the unknown side, then use The Law of Sines to find the smaller of the other two angles, and then use the three angles add to 180° to find the last angle.
How do you find the side of a triangle given two sides?
The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2 , can be used to find the length of any side of a right triangle.
Could 2.8 cm 4.0 cm and 2.8 cm be the side lengths of a triangle?
Yes, it could. Step-by-step explanation: The length of a side of a triangle is less than the sum of the lengths of the other two sides and greater than the difference of the lengths of the other two sides.
Could 8.8 cm 8.0 cm and 8.8 cm be the side lengths of a triangle?
Answer Expert Verified
yes it is possible to have a triangle with 8.8 cm, 8.0 cm and 8.8 cm. Step-by-step explanation: Condition on sides of triangle: The triangle inequality states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Could 10.6 cm 5.6 cm and 4.0 cm be the side lengths of a triangle?
Answer: No, sum of two sides is not greater than the tird side. Step-by-step explanation: For a triangle, the sum of any of two sides must be greater than the third side. … Therefore, a triangle with lengths 10.6cm, 5.6cm, and 4.0 cm is not possible.
Which type of angle is the largest?
A reflex angle is the larger angle, it’s always more than 180° (half a circle) but less than 360° (A full circle).
Which side of XYZ is the longest?
Answer: XY is the longest side in the given ΔXYZ.
What angle is the largest?
The largest angle is 2. It is obtuse and bigger than a right angle.