onewaydemon onewaydemon
  • 02-02-2019
  • Mathematics
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What is the value of q?

What is the value of q class=

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gmany
gmany gmany
  • 02-02-2019

Answer:

2√14

Step-by-step explanation:

ΔSQR and ΔTSR are similar. Therefore the sides are in proportion:

[tex]\dfrac{SR}{QR}=\dfrac{TR}{SR}[/tex]

We have:

SR = q

QR = 10 + 4 = 14

TR = 4

Substitute:

[tex]\dfrac{q}{14}=\dfrac{4}{q}[/tex]                  cross multiply

[tex](q)(q)=(14)(4)\\\\q^2=56\to q=\sqrt{56}\\\\q=\sqrt{4\cdot14}\\\\q=\sqrt4\cdot\sqrt{14}\\\\q=2\sqrt{14}[/tex]

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