Answer:
- x = 30°, y = 45°
- w = 14√2, v = 7√2
Step-by-step explanation:
ΔABC
- BC/AB = sin x
- 12/24 = sin x
- 1/2 = sin x
- x = 30°
ΔDBC
- DC = BC - given
- ∠C = 90° - given
- ΔDBC is isosceles right triangle
∠BDC ≅ ∠DBC ⇒ y = 45°
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ΔMPN is right isosceles triangle ⇒ MN = PN√2 = 14√2
ΔMKP is right isosceles triangle ⇒ MK = KP
- v = 1/2MN = 1/2(14√2) = 7√2
