Question
In the given triangle, BE ll CD, then by Triangle Proportionality Theorem, which statement is true?
- 32
- 36
- 66
Hint:
If a line is drawn parallel to any one side of a triangle so that it intersects the other two sides in two distinct points, then the other two sides of the triangle are divided in the same ratio.
The correct answer is:
By the Theorem Triangle Proportionality,
AE/ED = AB/BC.
Hence, the correct option is A.
It is also called basic proportionality theorem.
Related Questions to study
R and S are midpoints of sides XZ and ZY, respectively, of sides of a triangle ZYX. Find the perimeter of triangle ZYX.
Perimeter= Sum of all sides.
R and S are midpoints of sides XZ and ZY, respectively, of sides of a triangle ZYX. Find the perimeter of triangle ZYX.
Perimeter= Sum of all sides.
AB = x + 5, BD = 12, AC = 3x + 1, and CF = 15. Find the value of x if ABC is a triangle and BC ll DF.
It is also called basic proportionality theorem.
AB = x + 5, BD = 12, AC = 3x + 1, and CF = 15. Find the value of x if ABC is a triangle and BC ll DF.
It is also called basic proportionality theorem.
Find the length of AC.
It is also called basic proportionality theorem.
Find the length of AC.
It is also called basic proportionality theorem.
Find the value of z.
It is also called basic proportionality theorem.
Find the value of z.
It is also called basic proportionality theorem.
If KM ll JN, then find the value of J.
It is also called basic proportionality theorem.
If KM ll JN, then find the value of J.
It is also called basic proportionality theorem.
In the figure, DE ll AB and If CE = t – 2, EB = t + 1, CD = 2, and CA = 10, find t.
It is also called basic proportionality theorem.
In the figure, DE ll AB and If CE = t – 2, EB = t + 1, CD = 2, and CA = 10, find t.
It is also called basic proportionality theorem.
The line DE is parallel to AC If BC = 18, BE = 6, DC = 16, and AD = 8.Find EC.
It is also called basic proportionality theorem.
The line DE is parallel to AC If BC = 18, BE = 6, DC = 16, and AD = 8.Find EC.
It is also called basic proportionality theorem.
Find the value of ‘a’.
It is called theorem of parallel lines cut by transversals proportionality.
Find the value of ‘a’.
It is called theorem of parallel lines cut by transversals proportionality.
If line segment AD is an angle bisector and AB=6, AC = 10, and BD = 3, what must DC equal?
Here, the value of DC is 5.
If line segment AD is an angle bisector and AB=6, AC = 10, and BD = 3, what must DC equal?
Here, the value of DC is 5.
Choose the correct statement for the angle bisector theorem to the following triangle.
The base is divided in the same ratio as the sides containing the angle.
Choose the correct statement for the angle bisector theorem to the following triangle.
The base is divided in the same ratio as the sides containing the angle.
Theorem used to find the value of AB in the following figure
Here, AB = 4√2.
Theorem used to find the value of AB in the following figure
Here, AB = 4√2.
To find the value of AB in the figure, which theorem is used?
If two or more parallel lines are cut by two transversals, then they divide the transversals proportionally.
To find the value of AB in the figure, which theorem is used?
If two or more parallel lines are cut by two transversals, then they divide the transversals proportionally.
Which of the statements is true in the case of the given triangle?
The base is divided in the same ratio as the sides containing the angle.
Which of the statements is true in the case of the given triangle?
The base is divided in the same ratio as the sides containing the angle.
To find the value of p, which statements can be used?
Her, the value of p is 43.5.
To find the value of p, which statements can be used?
Her, the value of p is 43.5.
In the figure, to find the value of x which theorem can be used?
Here, the value of x is 10.
In the figure, to find the value of x which theorem can be used?
Here, the value of x is 10.
