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4 years ago

10

What scale factor was used when going from the grey triangle to the yellow triangle

2 answers:

sertanlavr [38]4 years ago

3 0

Answer:

Scale factor of 1/3

Step-by-step explanation:

gayaneshka [121]4 years ago

3 0

Answer:

It was used $\frac{1}{3}$ as scale factor.

Step-by-step explanation:

The scale factor is the ratio of two corresponding side lengths of similar figures. Similar figures have the same shape but are of different sizes.

To find the scale factor that was used when going from the grey triangle to the yellow triangle we can work with any of the three sides of the grey triangle.

Let's work with the below side.

The below side is extended from the point $(-2,4)$ to the point $(7,4)$

The length of this side is 9 units.

In the yellow triangle, we can see that the below side is extended from the point $(2,0)$ to the point $(5,0)$

The length of this side is 3 units.

Working with the lengths and the scale factor ⇒

$(9units).(ScaleFactor)=3units$

$ScaleFactor=\frac{3units}{9units}=\frac{1}{3}$

We find that the scale factor that was used when going from the grey triangle to the yellow triangle is $\frac{1}{3}$

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Hi there. I am having an issue figuring out which is the base and which is the length.

Paha777 [63]

We can split the given figure in 2 right triangles:

So, in order to get the area of each triangle, we need to find the base, denoted by x in both of them. Since both are right triangles, we can to apply Pythagoresn theorem. By applying this theorem to right hand side triangle, we have

$x^2+8^2=17^2$

so we have

$\begin{gathered} x^2+64=289 \\ then \\ x^2=289-64 \\ x^2=225 \end{gathered}$

Then, x is given by

$x=\sqrt{225}=15$

Then, the area of the left triangle is given by

$A_1=\frac{base\times height}{2}=\frac{15\times36}{2}=270in^2$

Similarly, the area of the second triangle is given by

$A_2=\frac{base\times height}{2}=\frac{15\times8}{2}=60in^2$

Then, the area of the entire figure is the sum of the area of the 2 triangles, that is,

$A=A_1+A_2=270+60=330in^2$

Therefore, the answer is: 330 square inches

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1 year ago

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AlexFokin [52]

Answer:

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Step-by-step explanation:

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Assoli18 [71]

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3 years ago

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3 years ago

Figure B is a scaled copy of Figure A.Select all of the statements that must be true:

KatRina [158]

Answer:

B) Figure B has the same number of edges as Figure A

D) Figure B has the same number of angles as Figure A

E) Figure B has angles with the same measures as Figure A

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

In this problem

If Figure B is a scaled copy of Figure A

then

Figure A and Figure B are similar

therefore

<u><em>The statements that must be true are</em></u>

B) Figure B has the same number of edges as Figure A

D) Figure B has the same number of angles as Figure A

E) Figure B has angles with the same measures as Figure A

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3 years ago