Question

10. Area of the triangle formed by (1,-4), (3,-2) and (-3, 16) is
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Answer 1

Answer:

16.5 units

Step-by-step explanation:

as we know in coordinate geometry Area of triangle =1/2[x1(y2-y3)+x2(y3-y1)+x3(y1-y2)]

after substituting all values in it according to the given question and calculating area of triangle

Area of triangle =1/2[x1(y2-y3)+x2(y3-y1)+x3(y1-y2)]

=16.5 units

Answer 2

The area of the triangle is 24 sq. units.

• The three vertices of the triangle are given as (1,-4) , (3,-2) and (-3,16)

• Now we have to calculate the area of triangle, we use the formula in coordinate geometry of area

• Area = $|\frac{1}{2}[x_1(y_2 - y_3)+x_2(y_3 - y_1) + x_3(y_1 - y_2)] |$

• Substituting the values in the formula we get ,

Area = $|\frac{1}{2} [1(-2-16)+ (3)(16-(-4)) + (-3)(-4 - (-2))]|$

Area = |$\frac{1}{2} [1(-18)+ (3)(20) + (-3)(-2)]$|

Area = |$\frac{1}{2} [-18+60+6]$|

Area = |(48/2)|

Area = 24 sq. units.