Geometry – Right Triangle

Senin, 30 Maret 2020

Right Triangle

Legs ofa right triangle: a, b

Hypotenuse: c

Altitude: h

Medians: m_a, m_b, m_c

Angles: α, β

Radius of circumscribed circle: R

Radius of inscribed circle: r

Area: S

Figure

• α + β = 90°

• Pythagorean Theorem,

    a² + b² = c²

• a² = fc, b² = gc,

where f and c are projections of the legs a and b, respectively, onto the hypotenuse c.

                                

Figure

• h² = fg,

where h is the altitude from the right angle.

where m_a and m_b are the medians to the legs a and b.
                      

Figure

Sumber

Labels: Mathematician

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