+0

# triangle

0
139
3

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

Jul 19, 2022

#1
+27
0

1/2*4*13=26

Jul 19, 2022
#2
+1158
+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
+2602
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