Question

What is the base of a triangle with area 207 square inches and height 18 inches?

Short answer

Base of a triangle$=23inches$

Step-by-step solution

Step 1. Given information

Area of given triangle A=$207squareinches$

Height of the triangle 'h'$=18inches$

Step 2. Finding the base 'b' of the given triangle

Formula of area of a triangle $A=\frac{1}{2}bh$

$$\begin{gathered} 207=\frac{1}{2}\times b\times 18 \\ 207=b\times 9 \\ b=\frac{207}{9} \\ b=23 \end{gathered}$$

Step 3. Checking

Check the solution by using the formula

$$\begin{gathered} A=\frac{1}{2}bh \\ 207=\frac{1}{2}\times 23\times 18 \\ 207=207\left[true\right] \end{gathered}$$

Therefore,base of triangle =$23inches$