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Diano4ka-milaya [45]
3 years ago
7

In the figure shown e is the midpoint of segment bd and ae = ec . choose the correct statement(s)

Mathematics
1 answer:
forsale [732]3 years ago
5 0

Answer:

Triangle ABE and triangle CDE are congruent by using SAS theorem.

Step-by-step explanation:

It is given that e is the midpoint of BD and AE=EC.

BE\cong DE             (E is midpoint of BD)

Angle AEB and angle CED are vertical opposite angle and the vertical opposite angles are always same.

\angle AEB\cong \angle CED

AE=EC                 (Given)

So by using SAS theorem of congruent triangles.

\triangle ABE\cong \triangle CED

Therefore triangle ABE and triangle CDE are congruent by using SAS theorem.

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check the picture below.


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\bf \textit{area of a triangle}\\\\&#10;A=\cfrac{1}{2}bh~~&#10;\begin{cases}&#10;b=base\\&#10;h=height\\[-0.5em]&#10;\hrulefill\\&#10;h=7\sqrt{3}\\&#10;b=7&#10;\end{cases}\implies A=\cfrac{1}{2}(7)(7\sqrt{3})&#10;\\\\\\&#10;A=\cfrac{49\sqrt{3}}{2}\implies A\approx 42.43524478543749369142

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