The coordinates of DEF are D(3,4), E(6,4), and F(5,9). If you translate DEF 3 units left and 2 units up, what are the coordinate
1 answer:
EXPLANATION:
1.We must locate the points that the exercise gives us in the Cartesian plane.
2.The figure that it gives us must be moved 3 units to the left and then 2 units up.
3.To correctly translate a figure, we must add the units that the exercise indicates and towards the correct direction, if it tells us that to the left is towards the negative axis, then each of the points given in the exercise we will transfer 3 units towards the left and then add each of the points two units up, then we see that the triangle takes new coordinates for the points.
4.The new coordinates for point E are (3,6)
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Here we are given the three sides of the triangle.
So we have Heron's formula to find its area.
Heron's formula is given by :
where A, B and C are sides of triangle and S is semi perimeter which is given by,
plugging values of A, B and C to find S
S=13.5
Now plugging values of A, B , C and S in Heron's formula
A=26.14 mm²
Answer: Area of triangle is 26.14 mm².