106. In a right triangle ABC, /3=90%,
AB=9 cm, AC=15 cm and D, E are the
midpoints of AB and AC respectively, then
the area of AADE is:
(1) 12 cm?
(2) 13.5 cm?
(3) 27 cm2
(4) 24 cm
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Answer
By Pythagoras theorem
AC²=AB²+BC²
15²=9²+BC²
225-81=BC²
144=BC²
√144=BC
12=BC
BC=12cm
Area of triangle =basexheight/2
Area =12x9/2
Area =6x9
Area =54cm²
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