In ΔVWX, x = 160 cm, v = 150 cm and ∠W=77°. Find the length of w, to the nearest centimeter.

The length of the third side is approximately 193.14 cm

Step-by-step explanation:

The given dimensions of the sides of triangle ΔVWX are;

X = 160 cm

V = 150 cm

The measure of the included angle, m∠W = 77°

By cosine rule, we have;

w² = v² + x² - 2·v·x·cos(W)

∴ w² = 150² + 160² - 2 × 160 × 150 × cos(77°) ≈ 37,302.35

∴ The length of the third side, w = √37,302.35 ≈ 193.14

The length of the third side, w ≈ 193.14 cm

irrational, cannot