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Answer:
e know, △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 ……………………………………..(2)
Adding the equations (1) and (2) we get,
AB2 + BC2 = AD × AC + CD × AC
AB2 + BC2 = AC (AD + CD)
Since, AD + CD = AC
Therefore, AC2 = AB2 + BC2
Hence, the Pythagorean theorem is proved.
Step-by-step explanation:
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Answer:
In triangle ABC
Angle B=90°
Angle B and angleA,
AC>BC ………..(1) (side opposite to greater angle is longer)
AngleB and angle c,
AC>AB ……..(2) (side opposite to greater angle is longer)
From equation 1st and 2nd ,
AC>BC,AB
Hence, hypotenuse is the longest side.