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avatar+126 

Determine an expression for the area of  triangle QCA in terms of p.

 

I solved it as follows

Area of  Triangle = 12bht

 

base = (02)2+(1212)2=4=2

 

ht = (00)2+(p12)2=(p12)2=(p12)

 

Area = 122(p12)=(p12)

 

But this was wrong... should this be (12-p) as p is smaller than 12 and area cannot be a -ve value?

 Feb 3, 2021
 #1
avatar+130477 
+2

QCA  is a right triangle with legs  QA  and QC

 

QA =   2

QC  =12 -  p   (i think this is the part where you  went a little wrong, geoNewbie )

 

Area =    product of the  legs   /   2    = 

 

2 (12 - p)  /  2    =     12   - p

 

 

cool cool cool

 Feb 3, 2021
 #2
avatar+126 
+1

Ahh thats what i thought. But many times when I calculate distance I have use (y1-y2) but since it would be squared the answer comes out as a +ve number. But in this case, I guess it does make a difference. Thanks CPhill

 Feb 3, 2021

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