1 Answer

GerryLowry · Answer 1 · 2021-05-10T06:29:22+0000

The area of the triangle ABC is 29.61 cm²

Step-by-step explanation:

The measurements of the sides of the triangle are
$b=9 \ cm$ ,
$c=7 \ cm$ and
$m \angle A=70^(\circ)$

We need to determine the area of the triangle ABC

Area of the triangle:

The area of the triangle can be determined using the formula,

${ Area }=(1)/(2) {bc} \ sin \ {A}$

Substituting the values
$b=9 \ cm$ ,
$c=7 \ cm$ and
$m \angle A=70^(\circ)$ , we get,

${ Area }=(1)/(2)(9)(7) \ sin \ {70^(\circ)}$

Simplifying the values, we have,

{ Area }=(1)/(2)(63) (0.94)

{ Area }=(1)/(2)(59.22)

${ Area }=29.61 \ cm^2$

Thus, the approximate area is 29.61 cm²

The area of the triangle ABC is 29.61 cm²

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