ICSE Class X Math 2015 Solved Paper

In the given figure $A B C$ is a triangle and $B C$ is parallel to the $y$ -axis. $A B$ and $A C$ intersects the $y$ -axis at $P$ and $Q$ respectively.

Question : 25 of 52

Marks: +1, -0

Find the length of

A B

and

A C

Solution:

Coordinates of

A(4,0)

and

B(-2,3)

\;\text " Length of "\; A B\;={√{(-2-4)^2+(3-0)^2}}

\;={√{36+9}}={√{45}}

\;=3 {√{5}} \;\text " units. "\;

Coordinates of

A(4,0)

and

C(-2,-4)

\;\text " Length of "\; A C\;={√{(-2-4)^2+(-4-0)^2}}

\;={√{36+16}}={√{52}}

\;=2 {√{13}} \;\text " units. "\;

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