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Setler [38]
3 years ago
15

Find the surface area of this triangular prisim.And pls expliane how you got that answer aswell pls.:)​

Mathematics
1 answer:
ehidna [41]3 years ago
3 0

Answer:

756^{2}

Step-by-step explanation:

To get the area of the triangle sides, we use the formula \frac{bh}{2}

In words, this is <em>base · height ÷ 2</em>

After using this formula we find the surface area of the triangle sides is 54

Of course because there are two sides, we do 54 + 54 = 108

For the base of the prism, we do <em>12 · 18</em>, which equals 216

For the back, we do <em>9 · 18</em>, which equals 162

For the top, we do <em>15 · 18</em>, which equals 270

Now that we have the individual areas of all the faces, we add them together. Doing this, we get 756^{2}

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Answer:

Option (3)

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"If two triangles are similar, their corresponding sides are proportional."

We will check each proportionality ratio given in the options for the given property,

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Therefore, this option is not the answer.

Option (2),

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\frac{4}{7}=\frac{7}{4}=\frac{7}{4}

But \frac{4}{7}\neq \frac{7}{4},

Therefore, this option is not the option.

Option (3),

\frac{BQ}{MD}=\frac{QL}{DF}=\frac{BL}{MF}

\frac{3.5}{2}=\frac{8.75}{5}=\frac{10.5}{6}

\frac{7}{4}=\frac{7}{4}=\frac{7}{4}

Therefore, this option is the answer.

Option (4),

\frac{6}{10.5}=\frac{2}{3.5}=\frac{5}{10.5}

\frac{4}{7}=\frac{4}{7}=\frac{10}{21}

But, \frac{4}{7}\neq \frac{10}{21}

Therefore, this is not the correct option.

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2 years ago
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