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Midlines of triangles and trapezoids
Dynamic tasks on triangle and trapezoid midlines, isosceles and equilateral triangles, and the 30° property.
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Sample questions
- A triangle side is ___ cm. Find the length of the parallel midline.
- A triangle midline is ___ cm. Find the parallel side length.
- A trapezoid has bases ___ cm and ___ cm. Find its midline.
- One base of a trapezoid is ___ cm and its midline is ___ cm. Find the other base.
- The vertex angle of an isosceles triangle is ___°. Find each base angle.
Midlines of triangles and trapezoids
A triangle midline joins the midpoints of two sides, is parallel to the third side and has half its length. A trapezoid midline joins the midpoints of its legs, is parallel to the bases and has length m = (a + b)/2.
Related triangle properties
An isosceles triangle has equal base angles, while every angle of an equilateral triangle is 60°. In a right triangle, the leg opposite 30° is half the hypotenuse. Distinguish a midline from a median in a diagram.
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