Question

If D is the midpoint of the hypotenuse AC of a right angled triangle

ABC, prove that BD = 1/2 AC.

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Answer 1

Step-by-step explanation:

Given:D is the midpoint of the hypothesis AC of a right angled triangle

By Pythagoras theorem

AC^2=AB^2+BC^2

therefore BD=1/2Ac

AC can be written as

(AD+BD)^2=AB^2+BC^2

AD^2+(1/2)^2=AB^2+BC^2

BD = 1/2 AC