Chapter 5.3, Problem 42PPS

(a)

To determine

To draw: The three triangles including one acute, one obtuse and one right angle.

Answer to Problem 42PPS

The triangles are shown in Figure (1), (2) and (3).

Explanation of Solution

The acute triangle is shown below.

  

Figure (1)

The obtuse triangle is shown below.

  

Figure (2)

The right triangle is shown below.

  

Figure (3)

Therefore, the triangles are shown in Figure (1), (2) and (3).

(b)

To determine

To measure: The measure the sides of each triangle and tabulate it.

Answer to Problem 42PPS

The sides are tabulated in Table (1).

Explanation of Solution

The complete table is shown below.

Triangle	$AB$	$BC$	$AB+BC$	$CA$
Acute	$4.3$	$4.8$	$9.1$	$5.8$
Obtuse	$3.4$	$4.4$	$7.8$	$6.4$
Right Triangle	$3$	$4$	$7$	$5$

Table (1)

Therefore, the complete table is shown in Table (1).

(c)

To determine

To measure: The sum of BC and CA in one table and sum of AB and CA in other table.

Answer to Problem 42PPS

The sum of BC and CA is shown in Table (1) and sum of AB and CA is shown in Table (3)

Explanation of Solution

The complete table with sum of BC and CA is shown below.

Triangle	$AB$	$BC$	$CA$	$BC+CA$
Acute	$4.3$	$4.8$	$5.8$	$10.6$
Obtuse	$3.4$	$4.4$	$6.4$	$3.4$
Right Triangle	$3$	$4$	$5$	$3$

Table (2)

The complete table with sum of BC and CA is shown below.

Triangle	$AB$	$BC$	$CA$	$AB+CA$
Acute	$4.3$	$4.8$	$5.8$	$11.1$
Obtuse	$3.4$	$4.4$	$6.4$	$9.8$
Right Triangle	$3$	$4$	$5$	$8$

Table (2)

Therefore, the sum of BC and CA is shown in Table (1) and sum of AB and CA is shown in Table (3).