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Find the area of triangle ABC.

A. 35.92 units²
B. 43.79 units²
C. 21.39 units²
D. 22.91 units²

Find the area of triangle ABC. A. 35.92 units² B. 43.79 units² C. 21.39 units² D. 22.91 units-example-1
User Ntki
by
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1 Answer

2 votes

Answer:


\text{C. }21.39\:\mathrm{units^2}

Explanation:

The area of a triangle with sides
a and
b and angle
\gamma between them is given by
A=(1)/(2)ab\sin \gamma.

Therefore, in the given triangle, we want to find two sides with the angle between them given. In this case, the angle between the two sides 7.39 and 9.75 is marked as
36.43^(\circ). Assign values:


  • a\implies 7.39

  • b\implies 9.75

  • \gamma \implies 36.43^(\circ)

Substituting these values into our area formula, we get:


A=(1)/(2)\cdot 7.39\cdot 9.75\cdot \sin (36.43)^(\circ),\\A=21.3938371858,\\A\approx \boxed{21.39\:\mathrm{units^2}}

User Sewa
by
4.4k points