Question

In ASTU, t = 96 cm, u = 98 cm and ZS=46°. Find the length of s, to the
nearest centimeter.

Answer 1

s = 76 cm

Explanation:

Here, we want to find the value of s in the triangle STU

Since we have the other two sides and the angle facing the missing side, we can use cosine rule

Mathematically, that would be;

s^2 = t^2 + u^2 - 2tu Cos S

s^2 = 96^2 + 98^2 -2(98)(96) cos 46

s^2 = 5749.31

s = √(5749.31)

s = 75.82 which is approximately 76 cm