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Shkiper50 [21]
3 years ago
10

What is the value of x in units

Mathematics
2 answers:
nikdorinn [45]3 years ago
6 0

\triangle RQT\ \text{and}\ \triangle SRT\ \text{are similar. Therefore the sides are in proportion.}\\\\\dfrac{RT}{TQ}=\dfrac{TS}{RT}\\\\\text{We have}\ RT=x,\ TQ=16,\ TS=9.\ \text{Substitute:}\\\\\dfrac{x}{16}=\dfrac{9}{x}\qquad\text{cross multiply}\\\\x^2=(9)(16)\\\\x^2=144\to x=\sqrt{144}\\\\\boxed{x=12}

castortr0y [4]3 years ago
3 0
The value of x in units would be 8 I could be completely wrong though
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