How do you solve the triangle given $△ R S T, r = 15, s = 18, m ∠ T = 90$ $triangleRST, r=15, s=18, mangleT=90$ ?

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Answer 1 · 2018-02-26T09:21:17

$t = 23.43, ˆ R = {39.8}^{\circ}, ˆ S = {50.2}^{\circ}$ $color(red)(t = 23.43, hat R = 39.8^@, hat S = 50.2^@$

$r = 15, s = 18, ˆ T = 90^{\circ}$ $color(blue)(r = 15, s = 18, hat T = 90^@$

It’s a right triangle.

Applying Pythagoras theorem,

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

$ˆ R = {sin}^{- 1} (\frac{r}{t}) = {sin}^{- 1} (\frac{15}{24.43}) = {39.8}^{\circ}$ $hat R = sin ^-1 (r / t) = sin^-1 (15/24.43) = 39.8^@$

$ˆ S = {cos}^{- 1} (\frac{15}{24.43}) = {50.2}^{\circ}$ $hat S = cos ^-1 (15/24.43) = 50.2^@$

How do you solve the triangle given △RST,r=15,s=18,m∠T=90triangleRST, r=15, s=18, mangleT=90?