Question

In triangle XYZ , Y = 29.8° , Z = 51.4° , x= 19.6cm. Solve the triangle completely.​

Answer 1

Answer:

• X = 98.8
• Z = 15.5 cm
• y = 9.86 cm

Step-by-step explanation:

To find z:

$\frac{z}{sin \: z} = \frac{x}{sin \: x} \\ z = x \: . \frac{sin \: z}{sin \: x} \\ z = 19.6 \times \frac{sin \:51.4}{sin \: 98.8} \\ z = 15.5cm$

To find y:

$\frac{y}{sin \: y} = \frac{x}{sin \: x} \\ y = x \: . \frac{sin \: y}{ \: \: sin \: x} \\ y = 19.6 \times \frac{sin \: 29.8}{sin \: 98.8} \\ y = 9.86 \: cm$