in the figure if angle a = angle CED ,AB=9 cm,AD=7cm,CD= 8cm and AC=10cm. find the valu DE
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Answer:
According to given statements,
△ACB and △ECD, are the similar triangles by AA criterion.
Therefore, their sides are in proportion,
So,
EC
AC
=
CD
CB
=
DE
BA
=>
10
8+b
=
8
12
=
a
9
On solving these , we get,
b=7 and a=6
Therefore,
a+b=13
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