Triangles are congruent if two pairs of corresponding angles and a pair of opposite sides are equal in both triangles. Specifying two angles A and B and a side a opposite A uniquely determines a triangle with area.
Find angle C , side b, side c from angle A=5o , angle B=7o and side a=5
angle A=5o angle B=7o side a=5
angle C side b side c area perimeter
Substitute the given values in the respective formula,
C = 18o - 5o - 7o C = 6o
b = (5 x sin 7o)/sin 5o b = 6.1334
c = (5 x sin 6o)/sin 5o c = 5.6525
S = (5+6.1334+5.6525) / 2 S = 8.393 Area = √8.393 x (8.393-5) x (8.393-6.1334) x (8.393-5.6525) Area = √176.3447 Area = 13.2794
Perimeter = 5 + 6.1334 + 5.6525 Perimeter = 16.7859