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

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Answer 1 · 2018-02-26T09:21:17

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

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

It’s a right triangle.

Applying Pythagoras theorem,

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$t = sqrt(r^2 + s^2) = sqrt(15^2 + 18^2) = 23.43$

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

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

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