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Sav [38]
3 years ago
5

Please answer ASAP ......

Mathematics
1 answer:
svetoff [14.1K]3 years ago
3 0
10 cm same length as UT
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What is the area of a triangle whose vertices are D(3,3), E(3,-1), and F(-2,-5)?
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There is a formula which employs the use of determinants and which helps us calculate the area of a triangle if the vertices are given as (x_1,y_1),(x_2,y_2),(x_3,y_3). The formula is as shown below:

Area=\frac{1}{2}\begin{vmatrix}x_1&y_1&1 \\ x_2&y_2&1\\ x_3&y_3&1\end{vmatrix}

Now, in our case, we have: (x_1,y_1)=(3,3)

(x_2,y_2)=(3,-1), and

(x_3,y_3)=(-2,-5)

Thus, the area in this case will become:


Area=\frac{1}{2}\begin{vmatrix}3&3&1 \\ 3&-1&1\\ -2&-5&1\end{vmatrix}

Therefore, Area=\frac{1}{2}\times [[3(-1\times 1-(-5)\times 1]-3[3\times 1-(-2)\times 1]+1[3\times -5-2]]= \frac{1}{2}\times -20=-10

We know that area cannot be negative, so the area of the given triangle is <u>10 squared units</u>.



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3 years ago
The table shows that the ratio of boys to girls at Midtown Middle School is 3 to 4.
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An example of prime number would be 5, since it can only be evenly divided by 5 and 1.
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