Chapter 11.2, Problem 1PSA

a

To determine

To find : The area of the triangle in part a

Answer to Problem 1PSA

The area of the triangle is $198{\text{ mm}}^2$

Explanation of Solution

Given information : The following information has been given

The base of the triangle is $22\text{ mm}$

The height of the triangle is $18\text{ mm}$

Formula used : The area of any triangle will be

  $A=\frac{1}{2}(base)(height)$

Calculation : We know that the area of a triangle can be calculated as

  $A=\frac{1}{2}(base)(height)$

Thus, substituting the values in the above formula, we get

  $A=\frac{1}{2}(22)(18)=198{\text{ mm}}^2$

b

To determine

To find : The area of the triangle in part b

Answer to Problem 1PSA

The area of the triangle is $102{\text{ cm}}^2$

Explanation of Solution

Given information : The following information has been given

The base of the triangle is $17\text{ cm}$

The height of the triangle is $12\text{ cm}$

Formula used : The area of any triangle will be

  $A=\frac{1}{2}(base)(height)$

Calculation : We know that the area of a triangle can be calculated as

  $A=\frac{1}{2}(base)(height)$

Thus, substituting the values in the above formula, we get

  $A=\frac{1}{2}(17)(12)=102{\text{ cm}}^2$

c

To determine

To find : The area of the triangle in part c

Answer to Problem 1PSA

The area of the triangle is $35$

Explanation of Solution

Given information : The following information has been given

The base of the triangle is $7$

The height of the triangle is $10$

Formula used : The area of any triangle will be

  $A=\frac{1}{2}(base)(height)$

Calculation : We know that the area of a triangle can be calculated as

  $A=\frac{1}{2}(base)(height)$

Thus, substituting the values in the above formula, we get

  $A=\frac{1}{2}(7)(10)=35$