Question

In ∆ABC ,m b=90and BM is an altitude .If AM=BM=8,find AC.

Answer 1

Answer:

8√2

Step-by-step explanation:

∆ABC is a right angle triangle

BM is an altitude

AM=BM=8cm

AC=?

In triangle ABC from 45°45°90°theorem

AM=BM=1÷√2×AC

since AB=BM=8cm

therefore AC=8×√2

AC=8√2