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How do you solve the triangle given #triangleRST, r=15, s=18, mangleT=90#?

1 Answer

sankarankalyanam

Feb 26, 2018

#color(red)(t = 23.43, hat R = 39.8^@, hat S = 50.2^@#

Explanation:

#color(blue)(r = 15, s = 18, hat T = 90^@#

It’s a right triangle.

Applying Pythagoras theorem,

enter image source here
#t = sqrt(r^2 + s^2) = sqrt(15^2 + 18^2) = 23.43#

#hat R = sin ^-1 (r / t) = sin^-1 (15/24.43) = 39.8^@#

#hat S = cos ^-1 (15/24.43) = 50.2^@#

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