Chapter 1, Problem 1.1P

a.

To determine

The side c of the triangle.

Answer to Problem 1.1P

  $C =12.20ft$

Explanation of Solution

Given:

The triangle is

And the sides are $a=10ft,b=7ft$

Concept Used:

Pythagoras theorem,

  $a^2+{\text{ b}}^2=c^2$

Calculation:

Using Pythagoras theorem,

  $\begin{array}{l}\begin{array}{l}{a}^2+{\text{ b}}^2=c^2\\ {10}^2+{\text{ 7}}^2=c^2\end{array}\hfill \\ 100+49=c^2\hfill \\ 149=c^2\hfill \\ C =12.20ft\hfill \end{array}$

Conclusion:

Therefore, the side $C =12.20ft$

b.

To determine

The side b of the triangle.

Answer to Problem 1.1P

  $b=12m$

Explanation of Solution

Given:

The triangle is

And the sides are $c=20m,a=16m$

Concept Used:

Pythagoras theorem,

  $a^2+{\text{ b}}^2=c^2$

Calculation:

  $\begin{array}{l}{16}^2+b^2={20}^2\hfill \\ 256+b^2=400\hfill \\ b^2 = 400–256\hfill \\ = 144\hfill \\ b =12m\hfill \end{array}$

Conclusion:

Therefore, the side $b =12m$