Find the area of the right triangle △DEF with the points D (0, 0), E (1, 1), and F.
m∠DEF = 60°.

The area of the triangle is  

Step-by-step explanation:

Given:

Coordinates D (0, 0), E (1, 1)

Angle  ∠DEF = 60°

△DEF is a Right triangle

To Find:

The area of the triangle

Solution:

The area of the triangle is  =

Here the base is Distance between D and E

calculation the distance using the distance formula, we get

DE  =

DE =

DE =

DE =

Base =

Height is DF

DF =

DF =

DF =

Now, the area of the triangle is

=

=

=

=

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