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bixtya [17]
3 years ago
6

What is the value of q?

Mathematics
1 answer:
skad [1K]3 years ago
6 0

Answer:

<h2>2√14</h2>

Step-by-step explanation:

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

\dfrac{SR}{QR}=\dfrac{TR}{SR}

We have:

SR = q

QR = 10 + 4 = 14

TR = 4

Substitute:

\dfrac{q}{14}=\dfrac{4}{q}                  <em>cross multiply</em>

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

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