angles are in ute saute Tau, llent te two tiangles are similar.
Some theorems based on similarity of triangles :
( If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other
two sides are divided in the same ratio. It is known as 'Basic Proportionality Theorem' or 'Thales Theorem.
a) If a line divides any two sides of a triangle in the same ratio, then the line is parallel to the third side. It is the
Converse of Basic Proportionality Theorem.
(iii) If two triangles are similar, then the ratio of areas of these triangles is equal to the ratio of squares of their
corresponding sides.
► Theorems Based on Right Angled Triangles :
(i) If a perpendicular is drawn from the vertex of the right angle of a right triangle to the hypotenuse, then the
triangles on both sides of the perpendicular are similar to the whole triangle and also to each other.
(ü) In a right angled triangle, the square of hypotenuse is equal to the sum of the squares of the other two sides.
It is known as Pythagoras Theorem.
>> In any triangle, the sum of the squares of any two sides is equal to twice the square of half of the third side
together with the twice of the square of the median which bisects the third side.
Three times the sum of the squares of the sides of a triangle is equal to four times the sum of the squares of the
median of the triangle.
Three times of the square of any side of an equilateral triangle is equal to four times the square of the altitude.
Answers
Answer:
hypotenuse, then the
triangles on both sides of the perpendicular are similar to the whole triangle and also to each other.
(ü) In a right angled triangle, the square of hypotenuse is equal to the sum of the squares of the other two sides.
It is known as Pythagoras Theorem.
>> In any triangle, the sum of the squares of any two sides is equal to twice the square of half of the third side
together with the twice of the square of the median which bisects the third side.
Three times the sum of the squares of the sides of a triangle is equal to four times the sum of the squares of the
median of the triangle.
Three times of the square of any side of an equilateral triangle is equal to four times
Step-by-step explanation:
hypotenuse, then the
triangles on both sides of the perpendicular are similar to the whole triangle and also to each other.
(ü) In a right angled triangle, the square of hypotenuse is equal to the sum of the squares of the other two sides.
It is known as Pythagoras Theorem.
>> In any triangle, the sum of the squares of any two sides is equal to twice the square of half of the third side
together with the twice of the square of the median which bisects the third side.
Three times the sum of the squares of the sides of a triangle is equal to four times the sum of the squares of the
median of the triangle.
Three times of the square of any side of an equilateral triangle is equal tjzi