Math Problem Statement
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
ΔABC is an isosceles triangle with AB―=BC―=6 units. D and E are the midpoints of AB― and BC―, respectively.
The length of AC― is 8 units. The length of DE― is units.
Solution
To find the length of segment , we can use the midsegment theorem for triangles. This theorem states that the segment joining the midpoints of two sides of a triangle is parallel to the third side and is half as long as that side.
In this case, is the midsegment connecting the midpoints of and , so:
Given that units, the length of is:
The length of is 4 units.
Would you like more details or have any other questions?
Here are 5 related questions for further exploration:
- What are the properties of midsegments in different types of triangles?
- How does the midsegment theorem apply to right triangles?
- Can you find the perimeter of the triangle using the given information?
- What is the area of triangle ?
- How do the medians and midsegments of a triangle differ?
Tip: Midsegments divide triangles into smaller, similar triangles.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Geometry
Triangles
Midsegments
Formulas
DE = 1/2 * AC
Theorems
Midsegment Theorem
Suitable Grade Level
Grades 8-10
Related Recommendation
Find the Length of Midsegment MN in Triangle with BC = 12 Units
Prove a Midsegment of Triangle ΔABC is Parallel to a Side Using Coordinate Geometry
Triangle Geometry: Midsegment and Angle Measure in Triangle ABC
Find BC and AC Given B is the Midpoint of AC and AB = 5
Midsegment Theorem in Triangle ABC: Finding Properties of EG