Respuesta :

smmwaite

Answer:

=49.15 cm²

Step-by-step explanation:

To find the area of the triangle we use the sine formula

A= 1/2ab Sin∅

where A is the area a and b are the lengths of two sides that intersect at a point and ∅ is the angle between them.

a=10 cm

b= 12 cm

∅=55°

A= 1/2×10×12×Sin 55

=49.15 cm²

kudzordzifrancis

ANSWER

[tex]Area =49.1 {cm}^{2} [/tex]

EXPLANATION

The area of triangle given included angle and length of two sides can be calculated using the formula:

[tex]Area = \frac{1}{2} ab \sin(C) [/tex]

Where C=55° is the included angle and a=12 cm , b=10cm are the known sides.

We plug in these values into the formula to get,

[tex]Area = \frac{1}{2} \times 12 \times 10 \sin(55 \degree) [/tex]

[tex]Area =49 .14912266[/tex]

Rounding to the nearest tenth, the area is

[tex]Area =49.1 {cm}^{2} [/tex]

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