Triangle – a three sided polygon (straight sides; closed) A B C 3 sides: 3 angles: 3 vertices: A,...
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Transcript of Triangle – a three sided polygon (straight sides; closed) A B C 3 sides: 3 angles: 3 vertices: A,...
![Page 1: Triangle – a three sided polygon (straight sides; closed) A B C 3 sides: 3 angles: 3 vertices: A, B, C.](https://reader035.fdocuments.in/reader035/viewer/2022072014/56649e745503460f94b73f84/html5/thumbnails/1.jpg)
triangle – a three sided polygon (straight sides; closed)
A
B C
3 sides:
3 angles:
3 vertices: A, B, C
, ,AB BC CA
, ,A B C
ABC
or
CAB
or
BCA
![Page 2: Triangle – a three sided polygon (straight sides; closed) A B C 3 sides: 3 angles: 3 vertices: A, B, C.](https://reader035.fdocuments.in/reader035/viewer/2022072014/56649e745503460f94b73f84/html5/thumbnails/2.jpg)
Classify triangles by sides
isosceles triangle – at least two sides are congruent
D
F
E
legs:
base:
,DF EF
DE
![Page 3: Triangle – a three sided polygon (straight sides; closed) A B C 3 sides: 3 angles: 3 vertices: A, B, C.](https://reader035.fdocuments.in/reader035/viewer/2022072014/56649e745503460f94b73f84/html5/thumbnails/3.jpg)
Classify triangles by sides
scalene triangle – no sides are congruent
![Page 4: Triangle – a three sided polygon (straight sides; closed) A B C 3 sides: 3 angles: 3 vertices: A, B, C.](https://reader035.fdocuments.in/reader035/viewer/2022072014/56649e745503460f94b73f84/html5/thumbnails/4.jpg)
Classify triangles by sides
equilateral triangle – all three sides are congruent
![Page 5: Triangle – a three sided polygon (straight sides; closed) A B C 3 sides: 3 angles: 3 vertices: A, B, C.](https://reader035.fdocuments.in/reader035/viewer/2022072014/56649e745503460f94b73f84/html5/thumbnails/5.jpg)
Classify triangles by angles
acute triangle – all three angles are acute (less than 90º)
![Page 6: Triangle – a three sided polygon (straight sides; closed) A B C 3 sides: 3 angles: 3 vertices: A, B, C.](https://reader035.fdocuments.in/reader035/viewer/2022072014/56649e745503460f94b73f84/html5/thumbnails/6.jpg)
Classify triangles by anglesright triangle – one right
angle (exactly 90º) & two acute angles; the acute angles are complementary (they add up to 90°)
KM
L
legs:
hypotenuse:
,MK LK
ML
![Page 7: Triangle – a three sided polygon (straight sides; closed) A B C 3 sides: 3 angles: 3 vertices: A, B, C.](https://reader035.fdocuments.in/reader035/viewer/2022072014/56649e745503460f94b73f84/html5/thumbnails/7.jpg)
Classify triangles by angles
obtuse triangle – one obtuse angle (more than 90º) & two acute angles
![Page 8: Triangle – a three sided polygon (straight sides; closed) A B C 3 sides: 3 angles: 3 vertices: A, B, C.](https://reader035.fdocuments.in/reader035/viewer/2022072014/56649e745503460f94b73f84/html5/thumbnails/8.jpg)
Classify triangles by angles
equiangular triangle – all three angles are congruent (60º)
![Page 9: Triangle – a three sided polygon (straight sides; closed) A B C 3 sides: 3 angles: 3 vertices: A, B, C.](https://reader035.fdocuments.in/reader035/viewer/2022072014/56649e745503460f94b73f84/html5/thumbnails/9.jpg)
altitude or “height” - a segment from a vertex perpendicular to the opposite side; may be inside, outside or on the triangle
![Page 10: Triangle – a three sided polygon (straight sides; closed) A B C 3 sides: 3 angles: 3 vertices: A, B, C.](https://reader035.fdocuments.in/reader035/viewer/2022072014/56649e745503460f94b73f84/html5/thumbnails/10.jpg)
median – “middle” – segment from a vertex to the midpoint of the opposite side; must be inside the triangle
![Page 11: Triangle – a three sided polygon (straight sides; closed) A B C 3 sides: 3 angles: 3 vertices: A, B, C.](https://reader035.fdocuments.in/reader035/viewer/2022072014/56649e745503460f94b73f84/html5/thumbnails/11.jpg)
angle bisector – segment from a vertex to the opposite side that
bisects the angle