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CBSE Class 10 Answered

In triangle ABC, measure of angle B is 90 and BD is a median, then prove that AC=2*BD
Asked by tirthajay6 | 11 Mar, 2019, 11:34: PM
answered-by-expert Expert Answer
As shown in figure, let us consider begin mathsize 12px style angle end styleB = 90° ,  hence it is possible to draw a circumcircle to ΔABC with AC as diameter.
Then we have BD = AD = DC , because D becomes centre and median BD equals radius of circle.
 
AC = AD+DC = BD+BD = 2 BD
Answered by Thiyagarajan K | 12 Mar, 2019, 08:20: AM

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