Special Triangles - Right Triangle, Equilateral Triangles, Isosceles Triangles

RIGHT TRIANGLE

Derékszögű háromszög

Pythagorean Theorem

c^{2} = a^{2} + b^{2}

Area of Right Triangles

T = \frac{a \cdot b}{2} = \frac{c \cdot h}{2}

Leg Theorem

a^{2} = p \cdot c; b^{2} = q \cdot c

Altitude Theorem

h^{2} = p \cdot q

EQUILATERAL TRIANGLES

Equilateral Triangles

Height of Equilateral Triangles

h = \frac{\sqrt{3}}{2} a

Area of Equilateral Triangles

A = \frac{a \cdot h}{2}

ISOSCELES TRIANGLES

Isosceles Triangles

Height of Isosceles Triangles

h = \sqrt{b^{2} - \frac{a^{2}}{4}}

Area of Isosceles Triangles

A = \frac{a \cdot h}{2}

Problem-Basic Level Problem-Intermediate Level Problem-Advanced Level

Keywords: special triangles - right triangle, equilateral triangles, isosceles triangles

Trigonometry
Law of Sines
Law of Cosines
Trigonometric identities of double angles
Trygonometry Identities of same angle
Trigonometric identities of half angles
Identities for the sum and difference of two angles
Sum and difference of trigonometric functions
Trigonometric Values of Special Angles
Two-dimensional geometric shapes
Angle Bisector Theorem
Basic Proportionality Theorem - Intercept Theorem
The inscribed angle theorem
Convex - Concave polygons, functions
Triangle
Special Triangles - Right Triangle, Equilateral Triangles, Isosceles Triangles
Quadrilateral
Squere
Rectangle
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Kite
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Circle
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Three-dimensional geometric shapes
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Scalar Product of Vectors
Vector Product of Vectors
Analytical Geometry 2D
Distance between two points
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Linear equation
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Analytical Geometry 3D
Plane