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Equal Angles Subtend Equal Sides

Construct Δ...

Question

Construct $Δ A B C$ when $A B = 4 c m, B C = 3 c m, A C = 5 c m$ and measure $∠ B$

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Solution

We can see that, $A B^{2} + B C^{2} = 4^{2} + 3^{2} = 16 + 9 = 25 = A C^{2}$
It satisfies Pythagoras Theorem
Hence, it is a Right angled Triangle Right angled at $B$
So, $∠ B = 90^{o}$

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