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Tri-Form Quiz: Triangle Properties

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Tri-Form Quiz: Triangle Properties

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Triangle basics and formulas

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Yuleinis Urquiza pimienta
Yuleinis Urquiza pimienta
Colombia

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Tri-Form Quiz: Triangle Properties
 

Tri-Form Quiz: Triangle PropertiesOnline version

Triangle basics and formulas

by Yuleinis Urquiza pimienta
1

Slide 1: Triangle Basics

Triangles are polygons with three sides and three angles. The sum of interior angles is always 180 degrees.

Classification by sides: equilateral, isosceles, scalene.

2

Slide 2: Side Classifications

Equilateral: all sides equal. Isosceles: two sides equal. Scalene: all sides different.

Equal sides imply equal angles opposite them.

3

Slide 3: Angle Sum Rule

In any triangle, angle A + angle B + angle C = 180°.

This rule helps determine missing angles and validate drawings.

4

Slide 4: Triangle Inequality

For any triangle, the sum of any two sides is greater than the third: a + b > c etc.

Prevents impossible triangles.

5

Slide 5: Pythagoras Theorem

Right triangle: c² = a² + b², where c is hypotenuse.

Useful for area and distance calculations.

6

Slide 6: Area Formulas

Base-height: Area = ½ × base × height.

Heron's formula: Area = √[s(s-a)(s-b)(s-c)] with semi-perimeter s.

7

Slide 7: Perimeter, Medians, and Altitudes

Perimeter: sum of sides. Medians reach midpoints; centroid is their intersection.

Altitude is perpendicular to the opposite side.

8

Slide 8: Centroid & Circumcenter

Centroid: balancing point, divides medians 2:1.

Circumcenter: equidistant from vertices, location varies by triangle type.

9

Slide 9: Triangle Similarity

Similar triangles: corresponding angles equal. Criteria: AA, SSS, SAS.

Proportional sides enable scale modeling.

10

Slide 10: Exterior Angles & Special Theorems

Exterior angle equals sum of two remote interior angles.

Use in proofs and problem solving to simplify calculations.
 
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