In ∆Rst, ∠S = 90°, ∠T = 30°, Rt = 12 Cm Then Find Rs and St. - Geometry Mathematics 2

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Sum

In ∆RST, ∠S = 90°, ∠T = 30°, RT = 12 cm then find RS and ST.

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Solution

In ∆RST,
∠S = 90, ∠T = 30, ∴ ∠R = 60
By 30∘ − 60 − 90 theorem,

\[RS = \frac{1}{2} \times RT\]
\[ \Rightarrow RS = \frac{1}{2} \times 12\]
\[ \Rightarrow RS = 6 cm . . . \left( 1 \right)\]
\[ST = \frac{\sqrt{3}}{2} \times RT\]
\[ \Rightarrow ST = \frac{\sqrt{3}}{2} \times 12\]
\[ \Rightarrow ST = 6\sqrt{3} cm . . . \left( 2 \right)\]

Hence, RS = 6 cm and ST = 6\[\sqrt{3}\] cm.

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Chapter 2: Pythagoras Theorem - Problem Set 2 [Page 44]

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Balbharati Mathematics 2 Geometry 10th Standard SSC Maharashtra State Board
Chapter 2 Pythagoras Theorem
Problem Set 2 | Q 3 | Page 44

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