\(\triangle{TVU}\) is a right-angled triangle with angles 45-90-45.

Ratio of its sides

\(Base:Altitude:Hypotenuse::\bar{TV}:\bar{UV}:\bar{TU}::1:1:\sqrt{2}\)

\(\triangle{RVS}\) is a right-angled triangle with angles 30-90-60.

Ratio of its sides

\(Base:Altitude:Hypotenuse::\bar{RV}:\bar{VS}:\bar{SR}::1:\sqrt{3}:2\)

(1)

TU=RS=10

\(\bar{TV}=\frac{10}{\sqrt{2}}\)

\(\bar{RV}=\frac{10}{2}\)

Find TV-RV

Sufficient.

(2)

RV=10

\(\bar{RS}=5*2=\bar{TU}\)

\(\bar{TV}=\frac{10}{\sqrt{2}}\)

Find TV-RV

Sufficient.

Ans: "D"

_________________

~fluke

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