In the following triangle ABC , angle B =70 degree, angle BDE =110 degree , BC = 5cm , AE =3cm and CE=3cm then the length of DE is
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⟹∠ADE=∠ABC Corresponding angles
∠AED=∠ACB Corresponding angles
∠A is common to both the triangles.
∴ΔADE∼ΔABC by AAA similarity
⟹
AD
AB
=
AE
AC
AD
AB
−1=
AE
AC
−1
AD
BD
=
AE
CE
DE=1×1.5x3
=2 cm
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