SAMPLE College Math
Based on these properties of angles, triangles are also classified as acute triangle (wherein all three angles of the triangle are acute), right triangle (one angle of the triangle is arightangle),andobtuse triangle (one angle of thetriangleisanobtuseangle).Itshouldalsobenotedthatthesumtotalofall threeangleofthetrianglesshouldalwaysbeequalto180 0 .Thedifferenttypesoftrianglescategorized on angles are given as follows:
Triangles can also be categorized on the basis of their sides, and are termedasscalene(noneofthe sides of the triangle are congruent or same), isosceles (two sides of the triangle are congruent),and equilateral (when allthreesidesofthetrianglearecongruent).Theclassificationoftrianglesbasedon sides is shown here:
Triangleinequalitytheorem statesthatthesumoftwosidesofanytrianglewillalwaysbegreaterthan the third side. For instance, a triangle cannot be formed if its sides are measured as 5cm, 7cm and 13cm, since adding two sides: 5+7 is not greater than the third side, that is, 13cm. Area of a triangle: The area of the triangle can befound by using the following formula: = 1 2 * * ℎ ℎ = 2 ℎ The perimeterofthetriangle canbefoundbyaddingthemeasureofallthreesidesofatriangle,thatis P = a + b + c Pythagorean Theorem: Thistheoremisapplicableonlytorightangletriangle.AsperthePythagorean Theorem,thesquareofthehypotenuseofthetriangleisequaltothesquareoftheothertwosidesofthe triangle. The sideoppositetotherightangleoftherightangletriangleisknownasthehypotenuse.In the given triangle,
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