MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Basic Concepts in Geometry

If a line div...

Question

If a line divides any two sides of a triangle in the same ratio, then _____________

A

It is not possible

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

It is parallel to the third side

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

C

It divides the third side in the same ratio

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

It will intersect the third side

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B
It is parallel to the third side

If a line divides any two sides of a triangle in the same ratio, then the line is parallel to the third side.

Suggest Corrections

thumbs-up

2

Similar questions

Q. Prove that "If a line divides any two sides of a triangle in the same ratio, then the line is parallel to the third side".

Q. If a line divides the two sides of a triangle in the same ratio, then the line is parallel to the third side of the triangle.

Q. State the following statement is True or False

The statement of Thales theorem is - "If a line divides any two sides of a triangle in the same ratio, then the line must be parallel to the third side."

Q. Using Theorem 6.2, prove that the line joining the mid-points of any two sides of a triangle is parallel to the third side. (Recall that you have done it in Class IX).

Theorem 6.2: If a line divides any two sides of a triangle in the same ratio, then the line is parallel to the third side.

Q. If a line is drawn parallel to one side of a triangle intersecting the other two sides, then it divides the two sides in the same ratio.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Basic Concepts in Geometry

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Basic Concepts in Geometry

Standard IX Mathematics

Join BYJU'S Learning Program

CrossIcon