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2 years ago

Triangle DEF, with vertices D(9,-8), E(8,-3), and F(2,-5), is drawn inside a rectangle,

Mathematics

1 answer:

dusya [7]2 years ago

8 0

The area of the triangle DEF is 2 square units

<h3>How to determine the area?</h3>

The given parameters are:

D(9,-8), E(8,-3), and F(2,-5),

The area of the triangle is calculated using:

Area = 0.5|x1 * (y2 -y3) + x2 * (y1 -y3) + x3 * (y2 -y1) |

This gives

Area = 0.5|9 * (-3 + 5) + 8 * (-8 + 5) + 2 * (-3 + 8) |

Evaluate

Area = 0.5|4|

Expand

Area = 2

Hence, the area of the triangle DEF is 2 square units

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Pedro is building a playground in the shape of a right triangle he wants to know the area of the playground to help him decide h

shusha [124]

Answer:

Amount of sand=Area of triangle(ABC)=1/2*AB*BC

Dimension of rectangle as length=BC and breadth=AB

Step-by-step explanation:

Given:

Pedro building a playground in shape of right angled triangle.

To Find:

How much sand he need to buy

And if playground changed to rectangle what will be the dimensions.

Solution:

<em>Consider a ΔABC be the play ground vertex of playground,</em>

<em>And AB and BC be the sides making right angle.</em>

The sand required to fill ground will be the amount of are covered by the ABC triangle.

So,

Area Of triangle(ABC)=1/2* base* height

Here base will be BC and height =AB

Therefore Area of Triangle(ABC)=1/2*BC*AB

Depending on the lengths of base and height amount of sand will be decided.

Now,

<em>For Rectangle dimensions,</em>

<em>We know that if same sized triangles composes each other forms a rectangle</em>.

It requires two triangle to form one rectangle as follows

(Refer the attachment)

Same sized Triangle ACD is imposed on it to from rectangle ABCD.

So dimension for rectangle will be same as the triangle

Dimension=length and breadth

i.e. length=base of triangle=BC

Breadth=Height of triangle=AB

i.e Breadth =AB.

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3 years ago

What is 50 x 79 x 27 + 69

vova2212 [387]

106,719

Answer:

$50 \times 79 \times 27 + 69 \\ \\ = 106,650 + 69 \\ \\ = 106,719$

8 0

2 years ago

Read 2 more answers

The distance around a circle is 37.7 meters long. what is the diameter of the circle?

aksik [14]

Ok so we know that the distance around the circle (or circumference) is equal to the diameter times pi.
This means that
$37.7 = \pi \times d$
d being the diameter,

This means that:
$d = \frac{37.7}{\pi}$
= 12.00028271
= 12 m

So the diameter of the circle is 12 metres.

Hope this helped

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3 years ago

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Alex17521 [72]

Answer:

100/100

Step-by-step explanation:

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2 years ago

Michael has finished 25% of an art project that has taken

Amanda [17]

Answer:

16 hours

Step-by-step explanation:

$\frac{25}{100}$ = $\frac{4}{x}$

cross multiply

25x = 400

divide

x = 16

6 0

3 years ago