Question 1172201
<pre>
Oh darn, he did it for you before I could post this!
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Instead of doing your problem for you, I'll do one that is exactly like
yours in every way, step by step.  

The problem I will do is this one:</pre>
the altitude of a right triangle divides the hypotenuse into two segments of 9cm and 4cm length. Find the area of triangle<pre>

Sketch the triangle:

{{{drawing(400,640/3,-1,14,-1,7,

triangle(0,0,9,0,9,6),triangle(9,0,9,6,13.0),locate(8.5,5.8,90^o),
locate(9.1,3.1,h),
locate(4.8,0,9),  locate(11,0,2) )}}}

Find the length of the altitude:

{{{matrix(1,3,
matrix(1,7,longer,leg, of, triangle, on, the, left)/matrix(1,7,longer,leg, of, triangle, on, the, right),
""="",
matrix(1,7,shorter,leg, of, triangle, on, the, left)/matrix(1,7,shorter,leg, of, triangle, on, the, right) )}}}

{{{matrix(1,3,9/h,""="",h/4)}}}

Cross multiply:

{{{matrix(1,3,h*h,""="",9*4)}}}

{{{matrix(1,3,h^2,""="",36)}}}

{{{matrix(1,3,h,""="",sqrt(36))}}}

{{{matrix(1,3,h,""="",6)}}}

{{{matrix(1,3,Area,""="",base*altitude)}}}

{{{matrix(1,3,base,""="",9+4)}}}

{{{matrix(1,3,base,""="",13)}}}

{{{matrix(1,3,altitude,""="",h)}}}

{{{matrix(1,3,h*h,""="",6)}}}

{{{matrix(1,3,h*h,""="",9*4)}}}

{{{matrix(1,3,Area,""="",base*altitude)}}}

{{{matrix(1,3,Area,""="",13*6)}}}

{{{matrix(1,4,Area,""="",78,cm^2)}}}

Now do your problem exactly the same way, step by step.

Edwin</pre>