CBSE BOARD XII, asked by 0708FS23, 3 months ago

if in ∆ Win and ∆ Fly
ar (Fly) = 98 sqcm and WN = 5/7 then ar (Win) = ? sqcm
options (9, 18, 42 , 49)​

Answers

Answered by gyaneshwarsingh882
0

Answer:

Explanation:

Area of triangle =  

2

1

[x  

1

(y  

2

−y  

1

)+x  

2

(y  

3

−y  

1

)+x  

3

(y  

1

−y  

3

)]

=  

2

1

[x(7−5)+5(5−y)−4(4−7)]

Given A,B and C are collinear, then area of triangle must be zero.

∴  

2

1

[x(7−5)+5(5−y)−4(4−7)]=0

⇒  

2

1

[2x−25+5y−4y+25]=0

⇒  

2

1

(2x+y+3)=0

Then, relation between x and y is 2x+y+3=0

Answered by amitnrw
1

Given : ∆WIN~∆FLY,  ar (FLY) = 98 cm² and WN/FY = 3/7,

To find  :  ar (WIN)

Solution:

Ratio of Area  of similar triangle = ( ratio of corresponding sides )²

∆WIN~∆FLY

=> WN and FY are corresponding sides

 ar (WIN)  /  ar (FLY)   = (WN/ FY ) ²

=>  ar (WIN)  /  98   = (3/ 7 ) ²

=> ar (WIN)  /  98   =  9/49

=> ar (WIN)  = 9 * 2

=>  ar (WIN)  = 18

ar (WIN) = 18 cm²

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