Triangles are three-sided polygons with three angles and three vertices. They are classified based on sides as equilateral isosceles or scalene and by angles as acute right or obtuse. Triangles form the foundation of geometry and are used in various ...
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An isosceles triangle is a triangle with two equal sides and two equal angles opposite those sides. The third side is called the base and the angle opposite the base is the vertex angle. It shows symmetry along the altitude ...
In ΔABC if AD ⊥ BC then AD is the altitude from vertex A to side BC. This implies that AD forms a right angle with BC and divides the triangle into two right triangles. The property is essential in ...
In triangle ABC if DE is parallel to BC then by the Basic Proportionality Theorem AD divided by DB is equal to AE divided by EC and this property helps in proving similarity of triangles or finding unknown lengths in ...
Triangle ABC is similar to triangle DEF meaning their corresponding angles are equal and their corresponding sides are proportional in length. This similarity implies that the two triangles have the same shape but may differ in size. Similarity is denoted ...
Similar triangles are triangles that have the same shape but not necessarily the same size. Their corresponding angles are equal and their corresponding sides are proportional. This means one triangle can be obtained by enlarging or shrinking the other. Similar ...
ΔABC and ΔDEF are similar which means their corresponding angles are equal and their corresponding sides are proportional in length thus they have the same shape but not necessarily the same size and this similarity is based on the fundamental ...
The centroid is the point where all the medians of a triangle intersect. It represents the center of mass of the triangle and divides each median in a 2:1 ratio. The centroid is always located inside the triangle and serves ...
Factors are numbers that divide a given number completely leaving no remainder. For example factors of 12 are 1 2 3 4 6 and 12. They help in simplifying fractions finding common multiples and solving various mathematical problems. Understanding factors ...
HCF stands for Highest Common Factor and it is the largest number that divides two or more numbers completely without leaving any remainder. To find HCF we use methods like prime factorization or division method. It is useful in simplifying ...