Midsegment of Triangles, Midpoint Formula and Distance Formula

Front

What is the Midsegment of a Triangle?

Back

A midsegment of a triangle is a line segment that connects the midpoints of two sides of the triangle. It is parallel to the third side and its length is half the length of that side.

Front

What is the Midpoint Formula?

Back

The midpoint formula is used to find the midpoint of a line segment. It is given by: Midpoint M = ( (x1 + x2)/2 , (y1 + y2)/2 ) where (x1, y1) and (x2, y2) are the coordinates of the endpoints.

Front

What is the Distance Formula?

Back

Front

If the midsegment of a triangle is 50 units long, what is the length of the side it is parallel to?

Back

The length of the side it is parallel to is 100 units, since the midsegment is half the length of that side.

Front

How do you find the length of a midsegment in a triangle?

Back

To find the length of a midsegment, measure the lengths of the two sides it connects, find their midpoints, and then use the distance formula to calculate the length of the segment.

Front

What is the relationship between the midsegment and the sides of a triangle?

Back

The midsegment is always parallel to the third side of the triangle and its length is half the length of that side.

Front

What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is always 180 degrees.

Front

If a triangle has sides of lengths 6, 8, and 10, what is the length of the midsegment connecting the sides of lengths 6 and 8?

Back

The length of the midsegment is 5 units, which is half the length of the side opposite to it (10 units).

Front

What is the formula for the area of a triangle using the base and height?

Back

Front

How do you determine if a triangle is right-angled using the lengths of its sides?

Back

A triangle is right-angled if the square of the length of the longest side is equal to the sum of the squares of the lengths of the other two sides (Pythagorean theorem).