Is PQR-AXYZ? If so, name which similarity postulate or theorem applies.
10
P
R
X
Z
A. Similar - AA
B. Similar - SSS
C. Similar - SAS
D. Cannot be determined
I

Is

PQR-AXYZ? If so, name which similarity postulate or theorem applies.
10
P
R
X
Z
A. Similar - A

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Ответ:

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03.03.2022

Mathematics

we know that

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

In this problem

case 1)

$QR+RS QS\\ 8+5 QS\\ 13 QS\\ QS < 13$

case 2)

$QR+QS RS\\ 8+QS 5\\ QS 5-8\\ QS -3$

case 3)

$RS+QS QR\\ 5+QS 8\\ QS 8-5\\ QS 3$

therefore

$QS < 13\\ QS 3\\ 3 < QS < 13$

the answer is the option

3 < QS < 13

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Is PQR-AXYZ? If so, name which similarity postulate or theorem applies. 10 P R X Z A. Similar - AA B. Similar - SSS C. Similar - SAS D. Cannot be determined I