What represents the inverse function of h(x)=1/2x-1/2?
1 answer:
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Explanation:
First we consider ΔABC and ΔBCD,
∠C=∠C (common)
∠B=∠D=
So, ΔABC ≈ ΔBCD (By AA similarity rule )
So by taking corresponding sides in ratios we get
Now
-------- Eqn (1)
Similarly,
We consider ΔABD and ΔABC
∠A=∠A (Commom)
∠B=∠D=
So,
ΔABD ≈ ΔABC (By AA similarity rule )
So by taking corresponding sides in ratios we get
Now,
--------Eqn (2)
By Adding both the equation we get
Hence, we proved the pythagorean theorem by using similarity of triangle.
