What is a unique triangle?

A unique triangle means there is ONLY ONE WAY to create the triangle. All unique triangles are congruent (the same) even though you may have to “flip” or “turn” them to line up. Criteria For A Unique Triangle.

What types of triangles are unique?

A unique triangle will be produced if you are given:

• all three sides (Side-Side-Side)
• two sides and the included angle (Side-Angle-Side)
• two angles and the included side (Angle-Side-Angle)

Which triangle is not unique?

▫ Unique triangles are determined when the non-included angle in this condition is 90° or greater. triangle? ▫ The only case of the two sides and a non-included angle condition that does not determine a unique triangle is when the non-included angle is an acute angle.

Why is a unique triangle?

The two angles and any side condition determines a unique triangle. Since the condition has two different arrangements, we separate it into two conditions: the two angles and included side condition and the two angles and the side opposite a given angle condition.

What kind of triangle is never wrong?

Special facts about obtuse triangle: An equilateral triangle can never be obtuse. Since an equilateral triangle has equal sides and angles, each angle measures 60°, which is acute. Therefore, an equilateral angle can never be obtuse-angled.

Is SSA a unique triangle?

Given triangular parts SSS, ASA or AAS always guarantees a single, unique triangle. Given the triangular parts SSA, however, is different and leaves the triangle unclear, or ambiguous. Hence, there are no possible triangles and nothing to solve for.

What are the properties of equilateral triangle?

Properties of an Equilateral Triangle

• Three sides are equal.
• Three angles are equal i.e 60° each.
• A regular polygon having three equal sides.
• Median, angle bisector and altitude are all equal in an equilateral triangle.
• The dividing perpendicular from the angle of the vertex is parted into two equal halves i.e. 30°.

Can an equilateral triangle be a right triangle?

Explanation: In an equilateral triangle, all the sides are equal. Since all the sides are equal then the angles must be equal too. So we can’t have an Right angled equilateral triangle.

Is Asa a congruence theorem?

The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

Is there a SSA Theorem?

An SSA congruence theorem does exist. sides and the corresponding nonincluded angle of the other, then the triangles are congruent. That is, the SSA condition guarantees con. gruence if the angles indicated by the A are right or obtuse.

Are all equilateral triangles similar?

A property of equilateral triangles includes that all of their angles are equal to 60 degrees. Since every equilateral triangle’s angles are 60 degrees, every equilateral triangle is similar to one another due to this AAA Postulate.

How do you find 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 a^2+b^2=c^2, which is known as the Pythagorean Theorem . The theorem states that the hypotenuse of a right triangle can be easily calculated from the lengths of the sides.

What is the formula for the altitude of an equilateral triangle?

An equilateral triangle is a special case of a triangle where all 3 sides have equal length and all 3 angles are equal to 60 degrees. The altitude shown h is hb or, the altitude of b. For equilateral triangles h = ha = hb = hc.

How do you determine the area of a triangle?

Calculating the Area of a Triangle. How to find the area of a triangle: The area of a triangle can be found by multiplying the base times the one-half the height. If a triangle has a base of length 6 inches and a height of 4 inches, its area is 6*2=12 square inches.

What is the equation for the area of a triangle?

Areas of Triangles. The most common formula for finding the area of a triangle is K = ½ bh, where K is the area of the triangle, b is the base of the triangle, and h is the height.