Mathematics
Grade9
Easy
Question
In the figure, to find the value of x which theorem can be used?
- Triangles proportionality theorem
- Converse proportionality theorem for triangles
- Angle bisector theorem for triangles
- Theorem for parallel lines cut by a transversal in proportion
Hint:
The angle bisector theorem is concerned with the relative lengths of the two segments that a triangle's side is divided into by a line that bisects the opposite angle. It equates their relative lengths to the relative lengths of the other two sides of the triangle.
The correct answer is: Angle bisector theorem for triangles
In the given triangle, we have by angle bisector theorem, we have
14/x = 21/15
=> x = (14× 15 )/21
=> x = 10.
Hence, the correct option is B.
Here, the value of x is 10.
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