The area of the triangle RST is the amount of space on the triangle RST
The area of the triangle RST is 127135 square cm
How to determine the area?
The given parameters are:
r = 690 cm, s = 410 cm and ∠T=64°.
Using the sine function, the area of ΔRST is calculated as:
[tex]A = 0.5rs\sin(T)[/tex]
Subsitute known values
A = 0.5 * 690 * 410 * sin(64 degrees)
Evaluate the sine ratio
A = 0.5 * 690 * 410 * 0.8988
Evaluate the product
A = 127135.26
Approximate
A = 127135
Hence, the area of the triangle RST is 127135 square cm
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