Question

if the __ property holds the triangle must be right angled​

Answer 1

Answer:

the answer to your question will be Pythagoras theorem

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Answer 2

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1. ᴘʏᴛʜᴀɢᴏʀᴀꜱ ᴛʜᴇᴏʀᴀᴍ
2. xNote: Pythagorean theorem is only applicable to Right-Angled triangle
3. .△ADB ~ △ABC

Therefore, ADAB=ABAC (corresponding sides of similar triangles)

Or, AB2 = AD × AC ……………………………..……..(1)

Also, △BDC ~△ABC

Therefore, CDBC=BCAC (corresponding sides of similar triangles)

Or, BC2= CD × AC

hence proofed