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3 years ago

Which of the following statements is true according to the measurements in the diagram?

Mathematics

2 answers:

e-lub [12.9K]3 years ago

8 0

Let's look at the corresponding ratios:

$\frac{AB}{ED}=\frac{24}{30}=\frac{4}{5}\\\frac{BC}{DC}=\frac{16}{20}=\frac{4}{5}\\\frac{AC}{EC}=\frac{21}{28}=\frac{3}{4}\\$

And we see that the three aren't equal.

Hence, $\Delta ABC$ and $\Delta EDC$ are not similar.

IgorC [24]3 years ago

7 0

Answer:

°[Option 3] => Triangle ABC and Triangle EDC are not similar

Step-by-step explanation:

The angles nor the sides are congruent in this image.

Please mark Brainliest

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Part B) The perimeter of the figure is $20\ units$

Step-by-step explanation:

step 1

Find the area of the figure

we know that

The area of the figure is equal to the area of triangle ABD plus the area of triangle BCD

The area of triangle is equal to

$A=\frac{1}{2}bh$

Area of triangle ABD

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$b=BD=(-2+8)=6\ units$

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The area of the figure is

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step 2

Find the perimeter of the figure

we know that

The perimeter of the figure is equal to

$P=AB+BC+CD+AD$

we have

$A(-5,1),B(-8,5),C(-5,9),D(-2,5)$

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

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$d=\sqrt{(5-1)^{2}+(-8+5)^{2}}=5\ units$

Find the distance BC

$d=\sqrt{(9-5)^{2}+(-5+8)^{2}}=5\ units$

Find the distance CD

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Find the distance AD

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substitute the values

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