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.
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 side of triangle ABC is the longest?
Since ∆ABC is right angled triangle, so hypotenuse will be the longest side. Hence, hypotenuse BC is the longest side.
Is Side C on a triangle always the longest?
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 find the side of a triangle given two sides?
Right Triangles and the Pythagorean Theorem
- 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.
- The side opposite the right angle is called the hypotenuse (side c in the figure).
Which side of ABC is the longest apex?
⇒ BC > CA > AB. Hence, the longest sides of triangle ABC is BC.
Which side of triangle XYZ is the longest?
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 Def is the longest apex?
Answer Expert Verified
Side opposite to greatest angle is the longest side.
What is the order of a triangle?
When we look at the above images of equilateral triangle, it fits on to itself 3 times during a full rotation of 360 degrees. So, an equilateral triangle has rotational symmetry of order 3.
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.
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In this triangle we know the three sides:
- a = 8,
- b = 6 and.
- c = 7.
Does it matter how you name a triangle?
That means that this triangle is also acute. Therefore, we will call this an acute scalene triangle. When naming a triangle, be sure to choose a name based on the side lengths and the angles. Look for markings that will give you information about whether the sides are congruent or the angles measure 90 degrees.
What is the C side of a triangle?
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.
Does 20 25 15 represent a right triangle?
The largest length is always the hypotenuse. If we were to multiply any triple by a constant, this new triple would still represent sides of a right triangle. Therefore, 6, 8, 10 and 15, 20, 25, among countless others, would represent sides of a right triangle.
Does 5/12/13 make a right triangle?
Yes, a right triangle can have side lengths 5, 12, and 13. To determine if sides of length 5, 12, and 13 units can make up the sides of a right…