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alukav5142 [94]
3 years ago
6

The triangles below are similar.

Mathematics
2 answers:
Tanzania [10]3 years ago
4 0

Answer:

A. ΔZXY≈ΔCAB

Step-by-step explanation:

In the smaller triangle, YZ is the smallest side.  In the larger triangle, BC is the smallest side.  This means that YZ corresponds to BC.

In the smaller triangle, YX is the "medium sized" side.  In the larger triangle, BA is the "medium sized" side.  This means that YX corresponds to BA.

In the smaller triangle, ZX is the longest side.  In the larger triangle, CA is the longest side.  This means that ZX corresponds to CA.

This gives us that Z corresponds to C, X corresponds to A and Y corresponds to B.  This gives us the similarity statement

ZXY~CAB

marissa [1.9K]3 years ago
4 0
We know that

the scale factor is equal to 2
so
CB<span>≈ZY
BA</span><span>≈YX
CA</span><span>≈ZX

</span>therefore
Δ ZXY≈<span>ΔCAB

the answer is the option
</span><span>A. ΔZXY≈ΔCAB</span>
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4 years ago
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8_murik_8 [283]

Answer:

The length side of the square is 7\sqrt{2}\ cm

Step-by-step explanation:

<u><em>The question in English is</em></u>

Find the measure of the side of a square whose diagonal is 14 cmd

Let

d ----> the diagonal of a square in cm

b ---> the length side of a square in cm

we know that

Applying the Pythagorean Theorem

see the attached figure to better understand the problem

d^2=b^2+b^2

d^2=2b^2

we have

d=14\ cm

substitute the given value

14^2=2b^2

solve for b

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98=b^2

take square root both sides

b=\sqrt{98}\ cm

simplify

b=7\sqrt{2}\ cm

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4 years ago
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ser-zykov [4K]

Answer:

Step-by-step explanation:

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