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What is the area of the shaded triangle, shown here?

 

 Jul 19, 2022
 #1
avatar+27 
0

1/2*4*13=26

 Jul 19, 2022
 #2
avatar+1155 
+5

area of shaded region is called x.

 

Total area minus blank region= x

lets call area of blank region y

lets call total area z

 

\(z-y=x\)

 

\(z = (12\times9)/2\)

 

\(z=54\)

 

\(y=\frac{12\times5}{2}\)

 

\(y=30\)

 

Plug them in to get

 

\(54-30=x\)

 

\(x=24\)

 Jul 19, 2022
 #3
avatar+2448 
0

Here's another way: 

 

The area of the 2 triangles is \(12 \times (5 + 4) \div 2 = 54 \)

 

The area of the white triangle is \(12 \times 5 \div 2 = 30\)

 

This means that the area of the shaded region is \(54 - 30 = \color{brown}\boxed{24}\)

 Jul 19, 2022

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