Question

Urgent!!!!!!

in an oblique triangle two sides measure 6cm and 12 cm and the angle across from the side that is 12cm in length measures 58°. to the nearest whole, what are the measures of the other two angles

Answer 1

25° and 97°

Explanation:

Oblique triangle : any triangle that is not a right triangle

Use the sine rule to find one of the unknown interior angles:

`(sin(A))/(a)=(sin(B))/(b)=(sin(C))/(c)`

where A, B and C are the interior angles of a triangle, and a, b and c are the sides opposite to the interior angles.

`\implies (sin(58))/(12)=(sin(B))/(6)`

`\implies sin(B)=(6sin(58))/(12)=0.4240240481...`

`\implies sin(B)=25.08890446...=25 \textdegree \ \ \textsf{(nearest whole)}`

Sum of interior angles of a triangle = 180°

⇒ Missing angle = 180 - 58 - 25 = 97°