Question

Find the missing information for the triangle.

Answer 1

given：

∠XBM = 30°

∠BMX = 90°

MX = 4cm

∠BXM + ∠BMX + ∠XBM = 180° （∠sum of △）

∠BXM + 90° + 30° = 180°

∠BXM = 60°

sin30° = 4 / BX

1/2 = 4 / BX

BX = 8cm

BM^2 + MX ^2 = BX^2

BM^2 = 64 - 16

BM^2 = 48

BM = 4 √3 cm