Today in our free geometry help session we are going to discuss about isosceles triangle theorem. Before it we have to define the isosceles triangle that is a triangle with two congruent sides.
There are several theorems based on the isosceles triangle that are as follows:
Theorem 1 : When two sides of the triangle are congruent then angles that are opposite to each other are also congruent .We can define the isosceles triangle theorem proof as follows :
As if there is a triangle XYZ then according to the theorem if XY ≅ XZ then angle Y ≅ angle z .
Theorem 2 : If in a triangle two angles are congruent then the sides of the triangle that are opposite are also congruent .It is also known as the converse theorem .we can also define the isosceles triangle theorem proof as follows :
As if there is a triangle XYZ then according to the theorem if angle Y ≅ angle z then XY ≅ XZ .
We can also create two congruent triangles by drawing the altitude in an isosceles triangle it is also proved by Hypotenuse – leg .
When we create two isosceles triangle then congruent legs of isosceles triangle change into the congruent hypotenuse and the altitude change into the shared leg.
It have some true statements regarding to a isosceles triangle as follows (find more details here):
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There are several theorems based on the isosceles triangle that are as follows:
Theorem 1 : When two sides of the triangle are congruent then angles that are opposite to each other are also congruent .We can define the isosceles triangle theorem proof as follows :
As if there is a triangle XYZ then according to the theorem if XY ≅ XZ then angle Y ≅ angle z .
Theorem 2 : If in a triangle two angles are congruent then the sides of the triangle that are opposite are also congruent .It is also known as the converse theorem .we can also define the isosceles triangle theorem proof as follows :
As if there is a triangle XYZ then according to the theorem if angle Y ≅ angle z then XY ≅ XZ .
We can also create two congruent triangles by drawing the altitude in an isosceles triangle it is also proved by Hypotenuse – leg .
When we create two isosceles triangle then congruent legs of isosceles triangle change into the congruent hypotenuse and the altitude change into the shared leg.
It have some true statements regarding to a isosceles triangle as follows (find more details here):
1. : If we create an altitude to the base of an isosceles triangle then it will bisects the vertex .it
is shown as If there is an isosceles triangle XYZ and an altitude ZA then
angle XZA ≅angle YZA
2. : In an isosceles triangle altitude to base bisects the base .In this statement if triangle XYZ isosceles and an altitude is ZA then side XA ≅ZA .
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