height of isosceles triangle with 3 cm base

Conversely, if the base angles of a triangle are equal, then the triangle is isosceles.” Isosceles triangle theorem states that “In an isosceles triangle, the angles opposite to the equal sides are equal.Sides of a Triangle The three sides of the triangle above are AB, BC and AC.

An exterior angle of a triangle is formed by any side of a triangle and the extension of its adjacent side. These angles are also called the interior angles of a triangle. Therefore ∆ABC is an Isosceles triangle.Īpplying Pythagoras theorem in ∆ABD, we have The angle formed at A can also be written as BAC. If two sides are equal, then the angles opposite to these sides are also equal.įor example, in the following triangle, AB = AC. Now, let us understand the definition of an isosceles triangle.Ī triangle is said to be an Isosceles triangle if its two sides are equal. Also, ancient Babylonian and Egyptian mathematicians were of the know-how on the calculations required to find the ‘ area’ much before the ancient Greek mathematicians started studying the isosceles triangle. The term isosceles triangle is derived from the Latin word ‘īsoscelēs’, and the ancient Greek word ‘ἰσοσκελής (isoskelḗs)’ which means “equal-legged”. The three sides of the triangle above are AB, BC and AC. Triangle ABC congruent to Triangle ABC (SAS) 4. Angle A congruent to Angle A (Reflexive) 3. AC congruent to AB (Symmetric Property) 2. An exterior angle of a triangle is formed by any side of a triangle and the extension of its adjacent side. kasturitejasvi 11 years ago What if I solve this by saying that Triangle ABC is congruent to itself (through SAS) in this way - 1. The angle formed at A can also be written as ∠BAC. The three angles are the angles made at these vertices, i.e. In the above triangles, the three vertices are A, B and C.

Height of isosceles triangle with 3 cm base