Triangle(adarsh Nagar)

Group Members:

If three points A , B ,C are not all in a line then the line segments AB , BC , CA form a Triangle with vertices A , B and C. We Denote The Triangle With The Symbol ‘ ∆ ‘.

A

B

C

• ON THE BASIS OF SIDES 2. Scalene Triangle. 3. Isosceles Triangle. 4. Equilateral triangle.

• ON THE BASIS OF ANGLES 6. Acute Angled. 7. Right Angled. 8. Obtuse Angled.

• The Sum Of The Angles Of A Triangle Is 180. • The Sum Of Two Sides Of A Triangle Is Greater Than The Third Side. • The

Exterior Angle Of A Triangle Is Equal To The Sum Of The Two Interior Opposite Angles. •The Greater Angle Has The Longer side Opposite To It.

METHOD I: SSS TRIANGLE A

B

C

X

STEPS :SSS TRIANGLE • Draw BX Of Any Length. • Cut BX At C Such That BC = 12 cm. • With Centre B & Radius 10 cm., Draw an Arc On One Side Of BC. • With Centre C & Radius 9.5 cm., Draw another Arc Intersecting The Arc of Last Step At A . • Join AB & AC. • Thus , ∆ ABC Is The Required Triangle.

METHOD II : SAS TRIANGLE

A

B

C

X

STEPS : SAS TRIANGLE •Draw Angle YBX of measure 70 degrees. •From ray BX, cut off line segment BC of length 10 cm. •From ray BY, cut off line segment BA of length 6 cm. •Join AC. Then , ABC IS THE Required Triangle.

METHOD III: ASA TRIANGLE Y

X

A

B

C

D

STEPS:ASA TRIANGLE • Draw line segment BC of length 12 cm. • Draw angle CBX , such that angle CBX of 50 degrees. • Draw angle BCY , With Y on the same side of BC as X, such that angle BCY = 70 degrees. • Let BX & CY intersect at A. Then , ABC IS THE Required Triangle.