**Area of triangle question8 :**

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

**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**

**Solution :**

Now we have to take anticlockwise direction. So we have to take the points in the order A (4,5) C (-2,2) and B (4,2)

x₁ = 4 x₂ = -2 x₃ = 4

y₁ = 5 y₂ = 2 y₃ = 2

Area of the triangle ACB

= (1/2) {(8 - 4 + 20) - (-10 + 8 + 8)}

= (1/2) {(28 - 4) - ( -10 + 16)}

= (1/2) (24 - 6)

= (1/2) x 18

= (18/2)

= 9 Square units.

Therefore the area of ACB = 9 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 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**

**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 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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