Respuesta :

Answer:

The area of the triangle is 61.2 sq. cm.

Step-by-step explanation:

Given : A triangle has sides of lengths 10 cm and 16 cm and the measure of the angle between them is 130 degrees.

To find : The area of the triangle?

Solution :

The area of triangle when two sides and one angle between them is given is

[tex]A=\frac{1}{2}\times a\times b\times \sin\theta[/tex]

Where, a and b are the sides of the triangle

a=10 cm and b=16 cm

[tex]\theta=130^\circ[/tex] is the angle between two sides

Substituting the values in the formula,

[tex]A=\frac{1}{2}\times 10\times 16\times \sin 130[/tex]

[tex]A=80\times 0.766[/tex]

[tex]A=61.28cm^2[/tex]

Therefore, The area of the triangle is 61.2 sq. cm.

Answer:

b. 61.3 cm 2

Step-by-step explanation:

I got it correct on my edge just now.