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What is the relationship between parallelograms and triangles?

A parallelogram can always be decomposed into two identical triangles by a segment that connects opposite vertices. Going the other way around, two identical copies of a triangle can always be arranged to form a parallelogram, regardless of the type of triangle being used.

What is the relationship between base height and area?

Related Lessons The area of a triangle is one half of the product of the base and the height drawn to that base. More concisely, , where is the area, is the base, and is the height.

What is base times height used for?

There are several ways to compute the area of a triangle. For instance, there’s the basic formula that the area of a triangle is half the base times the height. This formula only works, of course, when you know what the height of the triangle is.

Why do we use 1/2 base times height?

Why is the Area of a Triangle One Half Base Times Height Since the area of a rectangle is base × height, the area of a triangle is 1 / 2 × base × height. Here is another example of a triangle that is half the size of a rectangle.

Can base and height of a triangle be the same?

The goal is for them to see that in a triangle: Any side can be a base. The length of this perpendicular segment is the distance between the base and the vertex opposite it. A triangle can have three possible bases and three corresponding heights.

Where is the base located in a triangle?

The base is the side of a triangle which is considered to be the bottom, while the height of a triangle is the perpendicular line dropped onto its base from the vertex opposite to the base.

How do you find the length of the base of a right triangle?

Hypotenuse calculator The hypotenuse is opposite the right angle and can be solved by using the Pythagorean theorem. In a right triangle with cathetus a and b and with hypotenuse c , Pythagoras’ theorem states that: a² + b² = c² . To solve for c , take the square root of both sides to get c = √(b²+a²) .

Does 9 12 and 14 make a right triangle?

Explanation: By virtue of the Pythagorean Theorem, in a right triangle the sum of the squares of the smaller two sides equals the square of the largest side. Only 9, 12, and 15 fit this rule.