Median, Altitude, Midsegment and Triangle Inequalities

Front

What is the median of a triangle?

Back

A median of a triangle is a line segment joining a vertex to the midpoint of the opposite side.

Front

What is the altitude of a triangle?

Back

An altitude of a triangle is a perpendicular segment from a vertex to the line containing the opposite side.

Front

What is a midsegment in a triangle?

Back

A midsegment is a line segment that connects the midpoints of two sides of a triangle.

Front

What is the Triangle Inequality Theorem?

Back

The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Front

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

Back

The length of a median can be found using the formula: m = 1/2 * sqrt(2a^2 + 2b^2 - c^2), where a and b are the lengths of the sides adjacent to the median and c is the length of the opposite side.

Tags

CCSS.HSG.CO.C.10

Front

What is the relationship between the lengths of the sides of a triangle and its angles?

Back

In a triangle, the larger the angle, the longer the opposite side; conversely, the shorter the angle, the shorter the opposite side.

Tags

CCSS.HSG.CO.C.10

Front

What does an angle bisector do?

Back

An angle bisector divides an angle into two equal parts.

Tags

CCSS.HSG.CO.C.9

Front

Can a triangle have sides of lengths 7, 8, and 15?

Back

No, because 7 + 8 is not greater than 15, violating the Triangle Inequality Theorem.

Tags

CCSS.7.G.A.2

Front

What is the significance of the midsegment in a triangle?

Back

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

Tags

CCSS.HSG.SRT.B.4

Front

How do you determine the smallest angle in a triangle?

Back

The smallest angle in a triangle is opposite the shortest side.

Tags

CCSS.HSG.CO.C.10