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Find the area of triangle. Round to the nearest whole number.

A = 25°30', b = 13.0711 m, c = 11.863 m

User Ropstah
by
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1 Answer

4 votes

Explanation:

without a picture here I assume the following triangle/naming structure :

a is the side opposite of vertex/angle A. it connects CB.

b is the side opposite of vertex/angle B. it connects AC.

c is the side opposite of vertex/angle C, and is the baseline. it connects AB.

b and c connect therefore at A.

the area of a triangle is

baseline × height / 2

our baseline is c = 11.863 m

the height from C to c is the sine of angle A multiplied by the radius of the trigonometric circle, which is b.

so,

height = sin(25°30') × 13.0711 = sin(25.5°) × 13.0711

25°30' = 25.5°

because one degree has 60 minutes.

height = 5.627253597... m

the triangle area is then

5.627253597... × 11.863 / 2 = 33.37805471... m²

≈ 33 m²

User AdamKG
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8.0k points