Explanation: In any triangle, side opposite the largest angle is always the longest. and longest side of ΔABC is AB .
Which side of ABC is the longest ABCD Cannot be determined?
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 angle in ABC has the greatest measure?
The angle with the largest measure is opposite the longest side. The longest side is 12.
How do you know 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.
Which is the longest side of triangle ABC right angled at C?
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.
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 side of XYZ is the longest?
Answer: XY is the longest side in the given ΔXYZ.
Which angle XYZ has the largest measure?
Angle X has the largest measure.
Is it possible to draw a triangle with the following sides?
No; . The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
What is the measure of B in degrees?
The top angle (B) is 180 – 148 = 32 degrees. The answer is B.
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.
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.
Which side of triangle God is the shortest?
In such a triangle, the shortest side is always opposite the smallest angle. (These are shown in bold color above) Similarly, the longest side is opposite the largest angle. In the figure above, drag any vertex of the triangle and see that whichever side is the shortest, the opposite angle is also the smallest.
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 of the following can be the sides of a right triangle?
Solution : For a triangle to be a right angle triangle, the square of the largest side is equal to the sum of squares of other two sides. So, 36+6.25=42.25 which means it is a right angle triangle. It will form the right angle between sides 6 cm and 2.5 cm.
How many acute angles can a right triangle have?
So we will substitute the value here. Now, we will subtract 90∘ from both sides. Thus, both of the remaining two angles must have a measure less than 90∘ and therefore must be acute. Hence, the right triangle can have only two acute angles.