Q1 of 168 Page 4

State basic proportionality theorem and its converse.

Basic Proportionality Theorem: If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, then the other two sides are divided in the same ratio.


Converse of Basic Proportionality Theorem: If a line divides any two sides of a triangle in the same ratio, then the line must be parallel to the third side.


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27

An aeroplane leaves an airport and files due north at a speed of 1000 km/hr. At the same time, another aeroplane leaves the same airport and files due west at a speed of 1200 km/hr. How far apart will be the two planes after hours?

 28

Determine whether the triangle having sides (a – 1) cm, cm and (a + 1) cm is a right angled triangle.

 2

In the adjoining figure, find AC.


 3

In the adjoining figure, if AD is the bisector of ∠A, what is AC?