in the figure, triangle ABC is right angled at C and Q is the mid point of BC , then the length of AQ is:
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HeY DeAr----
here is your answer----
Given: ABC be a triangle, right - angled at C and D is the mid - point of BC.
To Prove: AB2 = 4AD2 - 3AC.
Proof:
From right triangle ACB, we have,
AB2 = AC2 + BC2
= AC2 + (2CD)2 = AC2 + 4CD2 [since BC = 2CD]
= AC2 + 4(AD2 - AC2) [From right △ACD]
= 4AD2 - 3AC2.
Step-by-step explanation:
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