AREA OF TRIANGLE QUESTION4

Area of triangle question4 :

Here we are going to see solution of first question of area of triangle worksheet. 

Question 4 : 

Find the area of triangle whose vertices are (1,3) (-7,6) and (5,-1).

Options :

(A) 10 square units 

(B) 8 square units 

(C) 18 square units

Solution :

Now we have to take anticlockwise direction. So we have to take the points in the order A (1,3) B (-7,6) and C (5,-1)

x₁ = 1     x₂ = -7      x₃ = 5

y₁ = 3     y₂ = 6       y₃ = -1

Area of the triangle ACB 

  =  (1/2) {(6 + 7 + 15) - (-21 + 30 - 1)}

  =  (1/2) {28 - ( -22 + 30)}

  =  (1/2) {28 - (8) }

  =  (1/2) {28 - 8}

  =  (1/2)  x 20 

  =  10 Square units.

Therefore the area of  ABC  =  10 square units.

Question 1 :

Find the area of triangle whose vertices are (6,7) (2,-9) and (-4,1).

Options :

(A) 62 square units 

(B) 68 square units 

(C) 74 square units

Question 2 :

Find the area of triangle whose vertices are (3,4) (2,-1) and (4,-6).

Options :

(A) 7.5 square units 

(B) 3.8 square units 

(C) 4.7 square units

Question 3 :     

Find the area of triangle whose vertices are (5,6) (2,4) and (1,-3).

Options :

(A) 2.7 square units 

(B) 8.8 square units 

(C) 9.5 square units

Question 5 :

Find the area of triangle whose vertices are (1,1) (3,4) and (5,-2).

Options :

(A) 7 square units 

(B) 9 square units 

(C) 13 square units

Question 6 :

Find the area of triangle whose vertices are (-3,-9) (-1,6) and (3,9).

Options :

(A) 59 square units 

(B) 69 square units 

(C) 93 square units

Question 7 :

Find the area of triangle whose vertices are (-3,-9) (3,9) and (5,-8).

Options :

(A) 57 square units 

(B) 69 square units 

(C) 37 square units

Question 8 :

Find the area of triangle whose vertices are (4,5) (4,2) and (-2,2).

Options :

(A) 9 square units 

(B) 7 square units 

(C) 3 square units

Question 9 :

Find the area of triangle whose vertices are (3,1) (2,2) and (2,0).

Options :

(A) 1 square units 

(B) 7 square units 

(C) 3 square units


Question 10 :

Find the area of triangle whose vertices are (3,1) (0,4) and (-3,1).

Options :

(A) 9 square units 

(B) 7 square units 

(C) 3 square units

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