Since, angle A, angle B and angle C are the opposite angle of the sides BC, CA and AB respectively, ⇒ BC > CA > AB. Hence, the longest sides of triangle ABC is BC.
Which side of ABC is the longest?
Explanation: In any triangle, side opposite the largest angle is always the longest. and longest side of ΔABC is AB .
How do you know that a certain side is the longest side?
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.
Which side of XYZ is the longest?
Answer: XY is the longest side in the given ΔXYZ.
What is the order of sides of DEF from shortest to longest?
From shortest to longest the order is: EF, DE and DF.
Which side of ABC is the longest apex?
⇒ BC > CA > AB. Hence, the longest sides of triangle ABC is BC.
Which side of triangle DEF is the longest?
4. Possible Answers: • The longest side of a triangle is always opposite the largest angle. For example, in ∆DEF, the longest side is DF and it is opposite the largest angle, E.
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.
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 order least to greatest sides?
Answer : In any triangle, the smallest angle is always across from the shortest side and the largest angle is always across from the longest side.
What is the measure of B?
The measure of B would be 60 degrees. … This means that the triangle is an equalateral triangle, and since all triangles interior angles equal 180 degrees, 180÷3=60.
Which angle XYZ has the largest measure?
Angle X has the largest measure. There’s a rule that the largest angle is the one across from the largest side and since 5 is the largest side length and <X is across from it that’s your answer.
Which angle in ABC has the largest measure?
The angle with the largest measure is opposite the longest side. The longest side is 12.
How do you find an angle of a triangle with 3 sides?
To solve an SSS triangle: use The Law of Cosines first to calculate one of the angles. then use The Law of Cosines again to find another angle. and finally use angles of a triangle add to 180° to find the last angle.
In this triangle we know the three sides:
- a = 8,
- b = 6 and.
- c = 7.
Why is the longest side of a triangle always opposite the largest angle?
As you might guess, the largest angle will be opposite 18 because it is the longest side. … Therefore, the angle measure in the middle will be opposite 13. Theorem: If one side of a triangle is longer than another side, then the angle opposite the longer side will be larger than the angle opposite the shorter side.
What is the M ∠ ABC?
The size of an angle is measured in degrees (see Angle Measures). When we say ‘the angle ABC’ we mean the actual angle object. If we want to talk about the size, or measure, of the angle in degrees, we should say ‘the measure of the angle ABC’ – often written m∠ABC. However, many times we will see ‘∠ABC=34°’.