Triangle Midsegments

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 relationship between the length of a midsegment and the length of the opposite side?

Back

The length of the midsegment is half the length of the opposite side.

Tags

CCSS.HSG.SRT.B.4

Front

If the midsegment of a triangle is 6 inches, what is the length of the opposite side?

Back

12 inches.

Tags

CCSS.HSG.SRT.B.4

Front

How do you find the length of a midsegment if you know the lengths of the opposite sides?

Back

Use the formula: Length of midsegment = (Length of side 1 + Length of side 2) / 2.

Front

What is the formula to find the length of the opposite side using the midsegment?

Back

2(midsegment) = opposite side.

Front

If a midsegment measures 9 inches, what is the length of the corresponding side?

Back

18 inches.

Tags

CCSS.HSG.SRT.B.4

Front

In triangle ABC, if D and E are midpoints of AB and AC respectively, what can be said about segment DE?

Back

Segment DE is parallel to side BC and its length is half of BC.

Tags

CCSS.HSG.SRT.B.4

Front

What type of triangle can have midsegments?

Back

All types of triangles (scalene, isosceles, and equilateral) can have midsegments.

Tags

CCSS.HSG.SRT.B.4

Front

If the midsegment of a triangle is 12 inches, what is the length of the opposite side?

Back

24 inches.

Tags

CCSS.HSG.SRT.B.4

Front

If the lengths of two sides of a triangle are 10 inches and 14 inches, what is the maximum possible length of the midsegment?

Back

12 inches (the average of the two sides).