Chapter 11, Problem 7RP

To determine

To calculate:Thearea oftriangleABC .

Answer to Problem 7RP

The area of triangleABCis $18$ .

Explanation of Solution

Given information:

In triangleABC ,

Side AD = $5$ ,

Side DC = $7$ ,

Side BD = $3$ .

Formula used:

Area of triangle: $A=\frac{1}{2}\times b\times h$

b = base of triangle

h = height of triangle

Calculation:

  

BaseAC = Side AD + Side DC

Base AC = $5+7=12$

Height DB = $3$

  $\begin{array}{l}A(△ABC)=\frac{1}{2}\times AC\times BD\\ A(△ABC)=\frac{1}{2}\times 12\times 3\\ A(△ABC)=18\end{array}$