Answer:
14.4 m²
Explanation:
You want the area of ∆RST with sides RS and RT both 6 m, and angle R = 53°.
Area
The relevant area formula is ...
A = 1/2ab·sin(C) . . . area of triangle with sides a, b, and angle C between
Application
Here, the sides are 6 m and the angle is 53°, so the area is ...
A = 1/2(6 m)(6 m)·sin(53°) ≈ 14.4 m²
The area of the triangle is about 14.4 square meters.
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