What Is The Longest Line In A Triangle?

How do you find two lengths of a triangle?

Suppose you have a right triangle in which a and b are the lengths of the legs, and c is the length of the hypotenuse, as shown below.

If you know the length of any two sides, then you can use the Pythagorean Theorem ( ) to find the length of the third side..

How do you find the bottom side of a right triangle?

How to find the sides of a right triangleif leg a is the missing side, then transform the equation to the form when a is on one side, and take a square root: a = √(c² – b²)if leg b is unknown, then. b = √(c² – a²)for hypotenuse c missing, the formula is. c = √(a² + b²)

Which is the shortest line segment?

Perpendicular Line segmentPerpendicular Line segment is the shortest.

Which line segment is the longest?

In an ellipse, the longest chord, which is also the longest diameter, is called the major axis, and a segment from the midpoint of the major axis (the ellipse’s center) to either endpoint of the major axis is called a semi-major axis.

Does 4 5 6 make right triangles?

The three numbers 4, 5, 6 make a Pythagorean Triple (they could be the sides of a right triangle).

What is the longest side of a triangle called?

hypotenuseThe hypotenuse of a right triangle is always the side opposite the right angle. It is the longest side in a right triangle. The other two sides are called the opposite and adjacent sides.

How do you work out the longest side of a right angled triangle?

To calculate the length of a side on a right-angled triangle when you know the sizes of the other two, you need to use Pythagoras’ Theorem. Pythagoras’ Theorem says that, in a right angled triangle: The square of the hypotenuse is equal to the sum of the squares on the other two sides.

What does the letter C stand for in the formula a2 b2 c2?

hypotenusePythagorean Theorem: a2 + b2 = c2. b. NOTE: The side “c” is always the side opposite the right angle. Side “c” is called the hypotenuse. The sides adjacent to the right angle are named “a” and “b”.

How do you name the shortest and longest sides of a triangle?

To put the sides in order of longest to shortest, first find the largest angle — the longest side is opposite this angle. Then, find the second largest angle and the side opposite from it to find the next largest angle, and finally, the shortest side will be opposite the smallest angle.

How do you order the angles of a triangle from least to greatest?

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.

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.

How do you find two sides of a right triangle?

Key PointsThe Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2 , is used to find the length of any side of a right triangle.In a right triangle, one of the angles has a value of 90 degrees.The longest side of a right triangle is called the hypotenuse, and it is the side that is opposite the 90 degree angle.More items…

Why is it called a right angled triangle?

The term is a calque of Latin angulus rectus; here rectus means “upright”, referring to the vertical perpendicular to a horizontal base line. … The presence of a right angle in a triangle is the defining factor for right triangles, making the right angle basic to trigonometry.

How do you find the length of a triangle given two sides and an angle?

Solving SAS Trianglesuse The Law of Cosines to calculate the unknown side,then use The Law of Sines to find the smaller of the other two angles,and then use the three angles add to 180° to find the last angle.

How do you find the third side of a triangle when given two sides and no angles?

You can’t find out the third side if you don’t have at least 1 angle of the triangle. If the angle was between the two sides, use Al-Kashi law to find out the third side.a²=b²+c²-2bc[cos(x)]where a is the third side and x is the angle between the two known sides.

How do you find the length of the shortest side of a triangle?

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.

How do you find the longest line in 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. Pythagorean Theorem: In a right triangle with hypotenuse c, a2+b2=c2.