'08 q10 (1 Viewer)

Makro

Porcupine
Joined
May 16, 2006
Messages
415
Location
In between.
Gender
Male
HSC
2009
Part b)

The diagram shows two parallel brick walls KJ and MN joined by a fence from J to M. The wall JK is s metres long and <kjm the="" fence="" jm="" is="" l="" metres="" long.="">

A new fence is to be built from K to a point P somewhere on MN. The new fence KP will cross the original fence JM at O.

Let OJ = x metres, where 0 < x < L.

i) Show that the toal area, A square mentres, enclosed by triangle OJK and triange OMP is given by

A = s( x - L + (L2/2x))sin(alpha)

--------------------

Area of triangle is 1/2absinC from what I know. Why does it prove that the two triangles are similar in the book? I don't understand why they're proven to be similar. Where does it ask for or need that?
</kjm>
 

kelllly

Member
Joined
Oct 7, 2009
Messages
89
Gender
Female
HSC
2009
You need to prove that the triangles are similiar to find the length of MP.

Area of triangleOMP
= 1/2 x OM x MP x sin(angleOMP)
 

Users Who Are Viewing This Thread (Users: 0, Guests: 1)

Top