Question

In ∆RST, t=4.1 inches, r=7.1 inches and

Answer 1

Given data:

The first given length is t=4.1 inches.

The second given length is r=7.1 inches.

The given angle is S= 45 degrees.

The expression for the cosine rule is,

`\cos (S)=(t^2+r^2-s^2)/(2(t)(r))`

Substituute the given values in the above expression.

`\begin{gathered} \cos (45^(\circ))=\frac{(4.1in)^2+(7.1in)^2-s^2}{2(4.1\text{ in)(7.1 in)}} \\ 41.167=67.22-s^2 \\ s^2=26.053 \\ s=5.1042\text{ in} \\ \approx5.1\text{ in} \end{gathered}`

Thus, the value of s is 5.1 inches.