URGENT!!
Find the area of a triangle to the nearest square centimeter, where a=3cm, b=5cm, and m∠C=53°

A. 5 cm²
B. 6 cm²
C. 9 cm²
D. 12 cm²

Respuesta :

Answer:

Option B will be the answer.

Step-by-step explanation:

From the figure attached,

ABC is a triangle having ∠C = 53°, a = 3 cm and b = 5 cm

Since area of a triangle = [tex]\frac{1}{2}(\text{Base})(\text{height})[/tex]

                                       = [tex]\frac{1}{2}(BC)(AE)[/tex]

SinC = [tex]\frac{AE}{AC}[/tex]

Sin53° = [tex]\frac{AE}{5}[/tex]

AE = 5(sin53°)

     = 3.993

Now area of triangle ABC = [tex]\frac{1}{2}(3.993)(3)[/tex]

                                                  = 5.99

                                                  ≈ 6 square cm

Therefore, area of ΔABC = 6 cm²

Option B will be the answer.

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