Mathematics: Are the two triangles similar? How do you know? (image attached)A. noB. yes; by AA ~C. yes; by SAS ~D. yes; by SSS ~

The length of the rectangle with area is and the width of the rectangle is Further Explanation: The formula of area of rectangle can be expressed as follows, The formula of perimeter of the rectangle can be expressed as follows, Here, “l” represents the length of the rectangle and “w” represents the width of the rectangle. Explanation: The given area of the rectangle is Compare the formula of the rectangle with the given area of the rectangle to obtain the dimensions of the rectangle. By comparing...

Are the two triangles similar? How do you know?

Ответ:

mariap3504

31.01.2023

Mathematics

To find if the two triangles are similar, we will assume they are similar. If this leads to a contradiction, then the triangles are not similar.

First, if they are similar, the ratios between the corresponding sides of the triangles must be the same:

$\frac{MK}{HM}=\frac{MJ}{GM}=\frac{JK}{GH}$

From the problem, we identify:

$\begin{gathered} MK=12\text{ cm} \\ HM=8\text{ cm} \\ MJ=16\text{ cm} \\ GM=12\text{ cm} \end{gathered}$

Then, the ratios are:

$\begin{gathered} \frac{MK}{HM}=\frac{12\text{ cm}}{8\text{ cm}}=\frac{3}{2} \\ \\ \frac{MJ}{GM}=\frac{16\text{ cm}}{12\text{ cm}}=\frac{4}{3} \end{gathered}$

As we can see, they are not the same, so we conclude that the triangles are not similar.

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Ответ:

ReaLily

06.02.2022

Mathematics

The length of the rectangle with area $24{x^6}{y^{15}}$ is $\boxed{24{x^6}}$ and the width of the rectangle is $\boxed{{y^{15}}}.$

Further Explanation:

The formula of area of rectangle can be expressed as follows,

$\boxed{Area = \left( l \right) \times \left( w \right)}$

The formula of perimeter of the rectangle can be expressed as follows,

$\boxed{{\text{Perimeter}} = 2\left( {l + w} \right)}$

Here, “l” represents the length of the rectangle and “w” represents the width of the rectangle.

Explanation:

The given area of the rectangle is $24{x^6}{y^{15}}.$

Compare the formula of the rectangle ${\text{Area}= \left( l \right) \times \left( w \right)$ with the given area of the rectangle to obtain the dimensions of the rectangle.

By comparing the length of the rectangle is $24{x^6}}$ and the width of rectangle is ${y^{15}}.$

The length of the rectangle with area $24{x^6}{y^{15}}$ is $\boxed{24{x^6}}$ and the width of the rectangle is $\boxed{{y^{15}}}.$

Learn more:

1. Learn more about inverse of the functionhttps://.

2. Learn more about equation of circle .

3. Learn more about range and domain of the function

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Mensuration

Keywords: rectangle, length, width, breadth, area of rectangle, circumference of rectangle, dimensions of rectangle, expression, square.

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Are the two triangles similar? How do you know? (image attached)A. noB. yes; by AA ~C. yes; by SAS ~D. yes; by SSS ~

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