Math, asked by santa19, 1 day ago

5.If (-3 ,1) , (1 ,-3 ) and (2 ,3 ) then the area of triangle is *
a) 14 sq.units
b) 7 sq.units
c) 28 sq.units
d) 35 sq.units​

Answers

Answered by Dalfon
67

Answer:

a) 14 sq. units

Step-by-step explanation:

Given that vertices of a triangle is (-3 ,1) , (1 ,-3 ) and (2 ,3). We need to find out the area of triangle.

Now,

Area of triangle whose vertices is in the form (x1, y1), (x2, y2) and (x3, y3) is given by formula 1/2 [x1 (y2 - y3) + x2 (y3 - y1) + x3 (y1 - y2)]

Where the value of x1 is -3, x2 is 1 and x3 is 2. Similarly, value of y1 is 1, y2 is -3 and y3 is 3.

Substitute the values,

= 1/2 [-3 (-3 - 3) +1(3 - 1) + 2(1 + 3)]

= 1/2 [-3 (-6) + 1(2) + 2(4)]

= 1/2 (18 + 2 + 8)

= 1/2 × 2 (9 + 1 + 4)

= 14

Therefore, the area of triangle is 14 sq. units.

Answered by IIYourFirstDeathII
4

Answer:

a) 14 sq. units

Step-by-step explanation:

Given that vertices of a triangle is (-3 ,1) , (1 ,-3 ) and (2 ,3). We need to find out the area of triangle.

Now,

Area of triangle whose vertices is in the form (x1, y1), (x2, y2) and (x3, y3) is given by formula 1/2 [x1 (y2 - y3) + x2 (y3 - y1) + x3 (y1 - y2)]

Where the value of x1 is -3, x2 is 1 and x3 is 2. Similarly, value of y1 is 1, y2 is -3 and y3 is 3.

Substitute the values,

= 1/2 [-3 (-3 - 3) +1(3 - 1) + 2(1 + 3)]

= 1/2 [-3 (-6) + 1(2) + 2(4)]

= 1/2 (18 + 2 + 8)

= 1/2 × 2 (9 + 1 + 4)

= 14

Therefore, the area of triangle is 14 sq. units.

Ab risk lene ka hi nhi h

your ans was again gone

sed

Sorry meri vajh se aap ko itni warning mil gyi

 

 

Step-by-step explanation:

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