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.
Which side of the triangle is the longest?
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. We use special words to describe the sides of right triangles.
Which angle in 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 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.
Which side of Def is the longest apex?
Answer Expert Verified
Side opposite to greatest angle is the longest side.
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 .
Which angle in def has the largest measure 6 7 11?
Solution: It is given that In triangle DEF, DE=11, FE=7 and DF=6. Out of these three sides, DE is the largest side having the largest measure, and the angle opposite to this side is . Therefore, the has the largest measure.
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.
Are the sides of a right triangle equal?
A right triangle has one angle equal to 90 degrees. A right triangle can also be an isosceles triangle–which means that it has two sides that are equal. A right isosceles triangle has a 90-degree angle and two 45-degree angles. This is the only right triangle that is an isosceles triangle.
What is a right angle triangle called?
A right triangle (American English) or right-angled triangle (British English) is a triangle in which one angle is a right angle (that is, a 90-degree angle). … The side opposite the right angle is called the hypotenuse (side c in the figure).
What is the sum of triangle sides?
A triangle has three sides, three angles, and three vertices. The sum of all internal angles of a triangle is always equal to 1800. This is called the angle sum property of a triangle. The sum of the length of any two sides of a triangle is greater than the length of the third side.
What is the rule for the third side 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.
What is a true triangle?
A triangle has three sides, three vertices, and three angles. The sum of the three interior angles of a triangle is always 180°. The sum of the length of two sides of a triangle is always greater than the length of the third side.