Answer:
10.3
Step-by-step explanation:
Triangle E D F is shown. The length of E F is 8 and the length of D F is 5. Angle E D F is 116 degrees and angle D F E is 31 degrees.
Trigonometric area formula: Area = One-half a b sine (C)
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
The area of the triangle is 10.3 sq.units, the correct option is A.
A triangle is a polygon with three sides, three angles and three vertices.
Triangle EDF has side lengths EF = 8, DF= 5, ∠EDF = 116°, ∠DFE = 31°.
The trigonometric formula for a triangle is given by
Area = One-half a b sine (C)
The measure of angle DEF can be determined by using, angle sum property
116 + 31+ x = 180
x = 33°
The area equation can be written as,
Area = (1/2) * 8 *5 * sin 33
Area = 20 * sin 33
Area = 10.35 sq. units
To know more about Triangle
brainly.com/question/2773823
#SPJ2
