Question

in a right triangle the hypotenuse is 17 and an adjacent side is 9. What is the measure of the angle opposite the adjacent sied?

Answer 1

SolutioN:-

★ Apply Phythagoras Theorem:-

`\sf \longrightarrow \: {(adjacent \: side)}^(2) + {(opposite \: side)}^(2) = {(hypotenuse)}^(2)`

`\sf \longrightarrow \: {(9)}^(2) + {(opposite \: side)}^(2) = {(17)}^(2)`

`\sf \longrightarrow \: 81 + {(opposite \: side)}^(2) = {(17)}^(2)`

`\sf \longrightarrow \: 81 + {(opposite \: side)}^(2) = 289`

`\sf \longrightarrow \: {(opposite \: side)}^(2) = 289 - 81`

`\sf \longrightarrow \: {(opposite \: side)}^(2) = 208`

`\sf \longrightarrow \: opposite \: side= √( 208)`

`\sf \longrightarrow \: opposite \: side=14.422`