| Category | Format | Size |
|---|---|---|
| People's Education Press Eighth Grade Mathematics Volume 1 | pptx | 6 MB |
"Altitude, midline and angle bisector of a triangle" Triangle PPT courseware
Description
"Altitude, midline and angle bisector of a triangle" Triangle PPT courseware
height of triangle
Draw a perpendicular line from one vertex of a triangle to the straight line on its opposite side. The line segment between the vertex and the vertical foot is called the height of this side of the triangle, or simply the height of the triangle.
As shown in the figure, line segment AD is the height of side BC
Symbolic language of triangle height:
∵AD is the height of △ABC
∴∠ BDA = ∠ CDA =90°
The three heights of an acute triangle
Draw an acute triangle on paper
(1) Can you draw the three heights of this triangle?
(2) What is the positional relationship between these three heights?
The three altitudes of an acute triangle intersect at the same point.
The three heights of an acute triangle are inside the triangle.
practice
As shown in the figure, in △ABC, ∠1=∠2, G is the midpoint of AD, extend BG to intersect AC at E, F is the point above AB, CF⊥AD is at H, determine which of the following statements are correct and which are incorrect of?
①AD is the angle bisector of △ABE ( )
②BE is the midline on side AD of △ABD ( )
③BE is the midline ( ) on side AC of △ABC
④CH is the height ( ) on side AD of △ACD
The height, midline and angle bisector of a triangle are all line segments
What did we learn today?
1. Concepts related to the altitude, midline and angle bisector of a triangle and how to draw them.
2. The symbolic language and simple application of the altitude, midline and angle bisector of a triangle.
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For more information about the PPT courseware "Medium Line and Angle Bisector of a Triangle", please click the "Medium Line and Angle Bisector of a Triangle ppt" ppt tag.
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Update Time: 2024-07-09
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