Question

The area of the triangle formed by the points (7, 9), (3, –7) and (–3, 3) is (in square units)

Answer 1

Answer:

68 is the answer

Step-by-step explanation:

Answer 2

Answer:

The area of triangle is 68 square unit .

Step-by-step explanation:

Explanation:

Given , three point (7, 9) , (3 , -7) and (-3 , 3)

Area of triangle = $\frac{1}{2}$ ×$|x_1(y_2-y_3) + x_2(y_3-y_1)+ x_3(y_1-y_2)|$

Step 1:

From the question we have ,

$x_1 = 7 , x_2 = 3, x_3 = -3 \\y_1 = 9 , y_2 = -7 \ and\ y_3 = 3$

Now put the given values in the formula of area of triangle we get ,

Area of triangle = $\frac{1}{2}$ × |7 (-7 -3) +3(3-9)+ -3(9- -7)|

⇒Area = $\frac{1}{2}$ [7(-10) +3(-6)-3(16)] = $\frac{1}{2}$ |-70 -18 - 48 |

⇒Area of triangle =  $\frac{1}{2}$|-136| = 68 square unit .

Final answer:

Hence , the area of triangle is 68 square unit .

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