if the area is there any of a triangle formed by the points (k, 0 ), (3,4) ,(5,2) is 10sq units,then the value of k
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Step-by-step explanation:
area of the tiangle =10sq
points=(k,0),(3,4),(5,2)
formulaa
∆=1/2|X1(y2-y3)+X2(y3-y1)+x3(y1-y2)|
(k,0)=(X1,y1)
(3,4)=(X2,y2)
(5,2)=(x3,y3)
substitut 10. =1/2|k(4-2)+3(2-0)+5-(0-4)|
=1/2|k×2+3×2+9|
=1/2|k×2+15|
10-15=1/2|k×2|
-5 =1/2×k×2
= k×1
-5/1=k
K=-5
Hope it may help u
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