Question

solve the triangle ABC in which A=66, B=42 and ac=12cm

Answer 1

What type of triangle is it?

Answer 2

tan (66°) = hgt/x
hgt = tan (66°) * x

tan(72°) = hgt/(12-x)
hgt = tan(72°) * (12-x)

tan(66°) * x = tan(72°) * (12-x)

2.2460367739 * x = 3.0776835372 * (12-x)
2.2460367739 * x = 36.9322024461 -3.0776835372*x
5.3237203111 *x = 36.9322024461
x = 6.9372920229
tan(66°) = hgt/x
hgt = 2.2460367739 * 6.9372920229
hgt = 15.5814129947

AB² = x² + hgt²
AB² = 48.126020611 + 242.7804309114
AB² = 290.9064515224
AB = 17.0559799344

BC² = hgt² + (12-x)²
BC² = 242.7804309114 + 25.6310120614
BC² = 268.4114429728
BC = 16.3832671642