Quick Answer: What Angle Is Opposite The Longest Side?

Why is the longest side opposite the largest angle?

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.

The largest angle will be opposite 18 because that is the longest side.

Similarly, the smallest angle will be opposite 7, which is the shortest side..

What is the shortest side of a right triangle?

The shortest side is the one opposite the smallest angle. If the angle you already know is the shortest one, then the shortest side is opposite it. However, if the angle you already know is the medium one, then the shortest side is adjacent to it.

How do you find the third side of a triangle given two sides?

If you want to calculate the third side of the triangle, you need more information than simply two sides. For example, if you know the triangle is a right triangle, or if you know the measure of the included angle between the two known segments, then you can determine the length of the third side.

How do you find the missing side of a rectangle?

To find the width, multiply the length that you have been given by 2, and subtract the result from the perimeter. You now have the total length for the remaining 2 sides.

Which is the greatest angle?

measures of the angles are in the ratio 1 : 2 : 3 : 4, and they must sum to 360, we can set up the following equation: X + 2X + 3X + 4X = 360. The smallest angle is 36 degrees, so the largest angle is: 4 × 36 = 144 degrees.

How do you know which angle is the largest?

List the angles in order, from largest to smallest. Just like with the sides, the largest angle is opposite the longest side.

How do you find an angle of a triangle with 3 sides?

“SSS” is when we know three sides of the triangle, and want to find the missing angles….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.

How do you find the smallest angle of a right triangle?

So the shortest side must be the smaller of the two legs. The smaller of the two legs is the one with length 9. Therefore the smallest angle in the triangle is the one across from the side of length 9. At this point drawing a picture helps.

What is the length of the side opposite the 60 angle?

The side opposite the 60° angle will be the middle length, because 60 degrees is the mid-sized degree angle in this triangle.

How do you find the side of a triangle given two sides?

Right Triangles and the Pythagorean TheoremThe 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).More items…

What is the smallest angle of triangle?

24 degreesSo the smallest angle measures 24 degrees.

How do you find the largest and smallest angles of a triangle?

The sides of the triangle are given. Can you determine which angle is the largest? The largest angle will be opposite 18 because that is the longest side. Similarly, the smallest angle will be opposite 7, which is the shortest side.

What is the interior angle opposite to the longest side?

Problem Answer: The interior angle opposite the longest side of a triangle is 86.38°.

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 is the longest side of a triangle?

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.