Chapter 14.6, Problem 14PSB

To determine

To construct the triangle with given set.

Explanation of Solution

Given:

The given set is $\{a,c,m_c\}$

Calculation:

The triangle with given set $\{a,c,m_c\}$ can be constructed as follows-

Step 1- Draw the base BC of given length $t_b$ .

Step 2- Draw the angle B and angle C.

Step 3- Join all the points toget the required triangle ABC.

To determine

To construct the triangle with given set.

Explanation of Solution

Given:

The given set is $\{a,b,h_a\}$

Calculation:

The triangle with given set $\{a,b,h_a\}$ can be constructed as follows-

Step 1- Draw the base AB of given length $a$ .

Step 2- Calculate the angle A as follows-

  $\angle A=180-(\angle B+\angle C)$

Step 3- Draw the angle A and angle B.

Step 3- Join all the points to get the required triangle ABC.

To determine

To construct the triangle with given set.

Explanation of Solution

Given:

The given set is $\{h_b,t_b,a\}$

Calculation:

The triangle with given set $\{h_b,t_b,a\}$ can be constructed as follows-

Step 1- Draw the base BC of given length $t_b$ .

Step 2- Draw the angle B and angle C.

Step 3- Join all the points to get the required triangle ABC.

To determine

To construct the triangle with given set.

Explanation of Solution

Given:

The given set is $\{a,b,h_c\}$

Calculation:

The triangle with given set $\{a,b,h_c\}$ can be constructed as follows-

Step 1- Draw the base BC of given length $t_b$ .

Step 2- Draw the angle B and angle C.

Step 3- Join all the points to get the required triangle ABC.

To determine

To construct the triangle with given set.

Explanation of Solution

Given:

The given set is $\{A,B,h_c\}$

Calculation:

The triangle with given set $\{A,B,h_c\}$ can be constructed as follows-

Step 1- Draw the base AB of given length $a$ .

Step 2- Calculate the angle A as follows-

  $\angle A=180-(\angle B+\angle C)$

Step 3- Draw the angle A and angle B.

Step 3- Join all the points to get the required triangle ABC.

To determine

To construct the triangle with given set.

Explanation of Solution

Given:

The given set is $\{a,c,h_c\}$

Calculation:

The triangle with given set $\{a,c,h_c\}$ can be constructed as follows-

Step 1- Draw the base BC of given length $t_b$ .

Step 2- Draw the angle B and angle C.

Step 3- Join all the points to get the required triangle ABC.