Question

please answer me fast....​

Answer 1

Step-by-step explanation:

join AD so,

in triangle ABC,

AB² + BC² = AC²

AB² + (2CD)² = AC² ( since D is the mid point BC )

AB² + 4CD² =AC² ......( i )

Now taking triangle ABD

AD² = AB² + BD²

AD² - BD² =' AB²

putting this value of AB² in equaion .. ( i )

so

AD ² - BD² + 4CD² = AC²

AD² - CD² + 4CD ² = AC² { BD = CD since D is the mid point}

AD² + 3CD² = AC² Hence proved

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