Question

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

Answer 1

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

Explanation:

To find z:

`(z)/(sin \: z) = (x)/(sin \: x) \\ z = x \: . (sin \: z)/(sin \: x) \\ z = 19.6 * (sin \:51.4)/(sin \: 98.8) \\ z = 15.5cm`

To find y:

`(y)/(sin \: y) = (x)/(sin \: x) \\ y = x \: . (sin \: y)/( \: \: sin \: x) \\ y = 19.6 * (sin \: 29.8)/(sin \: 98.8) \\ y = 9.86 \: cm`