Quick Answer: Which Of The Following Are True Statements About A 30 60 90 Triangle?

Which set of values could be the side lengths of 30 60 90 Triangle?

When you have a 30-60-90 triangle, your sides will always have a set pattern.

The side across from the 30 angle will be equal to n (in this case n = 4).

The side across from the 60 angle will always be equal to n√(3) (in this case, 4√(3)).

The side across from the 90 angle will always be 2n (in this case, 8)..

Which side is the short leg of this 30 60 90 Triangle?

Hypotenuse​Relationship Between the. ​Short Leg and Hypotenuse The short leg of a 30-60-90 triangle is always 1/2 the length of the hypotenuse.

Which method could be used to construct a 30 60 90 Triangle?

Constructing a 30°- 60°- 90° triangle It works by combining two other constructions: A 30 degree angle, and a 60 degree angle. Because the interior angles of a triangle always add to 180 degrees, the third angle must be 90 degrees.

What is the length of the altitude of an equilateral triangle of side 2 cm?

Hence, the length of the altitude of an equilateral triangle of side 2a cm is √3a cm.

How do you prove a 30 60 90 Triangle?

It is based on the fact that a 30°-60°-90° triangle is half of an equilateral triangle. Draw the straight line AD bisecting the angle at A into two 30° angles. Then AD is the perpendicular bisector of BC (Theorem 2). Triangle ABD therefore is a 30°-60°-90° triangle.

Which of the following could be the ratio between the links of the two legs of a 30-60-90 Triangle?

A 30-60-90 triangle is a special right triangle whose angles are 30º, 60º, and 90º. The triangle is special because its side lengths are always in the ratio of 1: √3:2.

Can 30 60 90 angles make a triangle?

A 30-60-90 triangle is a right triangle with angle measures of 30º, 60º, and 90º (the right angle). Because the angles are always in that ratio, the sides are also always in the same ratio to each other.

What type of triangle is 60 60 60?

This is a 60-60-60 triangle (that is, an equilateral triangle), with sides having a length of two units.

What are the sides of a 45 45 90 Triangle?

A 45°-45°-90° triangle is a special right triangle that has two 45-degree angles and one 90-degree angle. The side lengths of this triangle are in the ratio of; Side 1: Side 2: Hypotenuse = n: n: n√2 = 1:1: √2. The 45°-45°-90° right triangle is half of a square.

How are the proofs for the side length ratios of 30 60 90 and 45 45 90 triangles similar?

Given side length ratios of 30-60-90 and 45-45-90 triangles. we have to tell are these two triangles similar. To prove the two triangles similar either the angles are similar or the sides are in same proportion. The sides are not in same proportion.

What is Orthocentre of a triangle?

The orthocenter is the point where all three altitudes of the triangle intersect. An altitude is a line which passes through a vertex of the triangle and is perpendicular to the opposite side. There are therefore three altitudes in a triangle.

How do you find the longer leg of a 30 60 90 Triangle?

In any 30-60-90 triangle, you see the following: The shortest leg is across from the 30-degree angle, the length of the hypotenuse is always double the length of the shortest leg, you can find the long leg by multiplying the short leg by the square root of 3.

What is a 30 60 90 day plan?

A 30-60-90 day plan is what it sounds like: a document that articulates your intentions for the first 30, 60, and 90 days of a new job. It lists your high-level priorities and actionable goals, as well as the metrics you’ll use to measure success in those first three months.

Which is true statement about a 45 45 90 Triangle?

In a 45-45-90 triangle, the hypotenuse is times as long as one of the legs.

Is altitude always 90 degree?

In geometry, the altitude is a line that passes through two very specific points on a triangle: a vertex, or corner of a triangle, and its opposite side at a right, or 90-degree, angle. The opposite side is called the base. … The orange line that goes through this triangle is the altitude.

What are true statements about 30 60 90 Triangle?

A 30-60-90 triangle is a right triangle with one leg equal to x, the other leg equal to 2x and the hypotenuse equal to x*sqrt(3). So, there you see that the longer leg is twice as long as the shorter leg (option D) and the hypotenuse is sqrt(3) times as long as the shorter leg (option F).

What is a 30 60 Triangle?

A 30-60-90 triangle is a special right triangle (a right triangle being any triangle that contains a 90 degree angle) that always has degree angles of 30 degrees, 60 degrees, and 90 degrees. Because it is a special triangle, it also has side length values which are always in a consistent relationship with one another.

What is the length of the altitude of the equilateral triangle?

Altitudes of Triangles FormulasTriangle TypeAltitude FormulaEquilateral Triangleh = (½) × √3 × sIsosceles Triangleh =√(a2−b2⁄2)Right Triangleh =√(xy)Aug 16, 2020

How do you find the sides of a 30 60 90 Triangle?

30-60-90 Triangle RatioShort side (opposite the 30 degree angle) = x.Hypotenuse (opposite the 90 degree angle) = 2x.Long side (opposite the 60 degree angle) = x√3.Apr 14, 2020