- How is the formula for the area of a triangle related to the formula for the area of a parallelogram?
- Is the formula for the area of a triangle true for any triangle?
- How can you find the area of a rectangle?
- Can any side of a triangle be the base?
- Is the base the longest side of a triangle?
- What is a no triangle?
- What does a unique triangle look like?
- What is an unique triangle?
- Which set of side lengths would create a unique triangle?
- Which conditions will create only one unique triangle?
- What angle is opposite the longest side?
- How many unique triangles can make?
- Which theorem does not determine a unique triangle?

## How is the formula for the area of a triangle related to the formula for the area of a parallelogram?

To find the area of a triangle, multiply the base by the height, and then divide by 2. The division by 2 comes from the fact that a parallelogram can be divided into 2 triangles. For example, in the diagram to the left, the area of each triangle is equal to one-half the area of the parallelogram.

## Is the formula for the area of a triangle true for any triangle?

Not technically, but sometimes you may have to find the height using the Pythagorean Theorem, so if you have the hypotenuse and the base of a right triangle, the height, h = √(c^2 – b^2), so the area of the triangle could be found by A = 1/2 b √(c^2 – b^2), but it is the same principle as A = 1/2 b h.

## How can you find the area of a rectangle?

To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.

## Can any side of a triangle be the base?

Any side of a triangle can be a base. There is only one possible height. A height is always one of the sides of a triangle.

## Is the base the longest side of a triangle?

The base of an isosceles triangle is sometimes the longest side of the triangle. Say the two angles opposite the congruent sides measure 30 degrees each. Then the angle opposite the base would measure 120 degrees. This means the base would be the longest side of the triangle.

## What is a no triangle?

What Is “No” Triangle? There are certain criteria that if you are given you will NOT be able to create a triangle… 1.) If the sum of all the angles in the triangle do NOT equal 180° 2.)

## What does a unique triangle look like?

In general, a unique triangle may always be drawn if three side lengths are given and the sum of any two is greater than the third. c) More than one triangle can be drawn with Angle A = 40°, Angle B = 60° and Angle C = 80°. The angles sum to 180°, so at least one triangle may be drawn.

## What is an unique triangle?

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.

## Which set of side lengths would create a unique triangle?

correspondence; three side lengths of a triangle determine a unique triangle. equal under some correspondence; two sides and an included angle of a triangle determine a unique triangle.

## Which conditions will create only one unique triangle?

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)

## What angle is opposite the longest side?

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.

## How many unique triangles can make?

With this information, one unique triangle can be made. Sometimes, two or more different triangles can be made with three given measures. For example, here are two different triangles that can be made with an angle measuring and side lengths 6 and 8.

## Which theorem does not determine a unique triangle?

A triangle drawn under the condition of two sides and a non-included angle, where the angle is acute, does not determine a unique triangle.