2 years ago

What is the value of q?

Mathematics

1 answer:

skad [1K]2 years ago

6 0

Answer:

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:

$\dfrac{q}{14}=\dfrac{4}{q}$ cross multiply

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

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