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What is the area of triangle DEF? Round to the nearest tenth of a square unit.
10.3 square units
18.0 square units
20.0 square units
20.6 square units

What is the area of triangle DEF Round to the nearest tenth of a square unit 103 square units 180 square units 200 square units 206 square units class=

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meerkat18
Since we are given 2 sides and 2 angles, we can use the Side Angle Side (SAS) method. The area of a triangle is given by the formula:
Area = absinC/2; where a and b are adjacent sides and C is the angle between a and b.

Area = 5*8*sin31°/2 = 10.3 square units.
MrRoyal

The area of the triangle is 10.3 square units

The given parameters are:

DF = 5 units

EF = 8 units

Angle F =31 degrees

The area of the triangle is then calculated as:

[tex]Area = 0.5ab\sin(C)[/tex]

In this case, the area is:

[tex]Area = 0.5 * DF * EF * \sin(\angle F)[/tex]

So, we have:

[tex]Area = 0.5 * 5 * 8 * \sin(31)[/tex]

Evaluate the products

[tex]Area = 10.3[/tex]

Hence, the area of the triangle is 10.3 square units

Read more about triangles at:

https://brainly.com/question/17972372

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