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labwork [276]
3 years ago
9

What is the area of a triangle whose vertices are D(3, 3) , E(3, −1) , and F(−2, −5) ?

Mathematics
1 answer:
kirill [66]3 years ago
7 0

We are given vertices of the triangle DEF as:

D(3, 3) , E(3, −1) , and F(−2, −5) .

Let us plot those points on the graph.

Formula of area of the triangle with vertices (x1,y1), (x2,y2) and (x3,y3).

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

We have x1=3, x2=3, x3=-2, y1=3, y2 =-1 and y3 = -5.

Plugging values in formula, we get

Area = |1/2 [ 3-3)(-5-3)-(-2-3)(-1-3)]|

= |1/2 [ 0(-8) - (-5)(-4)]|

=| 1/2 [0 - 20]|

= |-10|

=10.

<h3>Therefore, area of the triangle with given vertices is 10 square units.</h3>
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2 years ago
What is the difference between 1/2 and 1 whole?
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1/2 is half of a whole

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3 years ago
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If the length of a cuboid is 60cm and width 40cm and its surface area is 14800cm² find its height
kherson [118]
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14800/292800=4H
7400/146400=4H
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1850/36600=4H
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The lateral area is expressed as the product of the perimeter of the base and the height. While the surface area is the sum of all areas. The lateral area and the surface area of the box is calculated as follows:

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SA = 2(lw + wh + lh)
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SA = 307.28 cm

Thus, the lateral area and the surface area are 137 cm and 307 cm, respectively.
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