Triangle Alert

Geometry Level 2

Find the green area of the figure above


The answer is 18.

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1 solution

Let's divide the figure above become a three triangle ( A , B A, B and C C )

Find the area of Triangle C C

4 × 3 2 = 6 \frac {4 \times 3}{2} = 6

Now find the area of Triangle A + C A + C

4 × 5 2 = 10 \frac {4 \times 5} {2} = 10

So we can conclude that,

Area of Triangle A A = 10 6 = 4 = 10-6 = 4

Now find the area of Triangle B + C B+C

4 × 10 2 = 20 \frac{4 \times 10}{2} = 20

So we can also conclude that,

Area of Triangle B B = 20 6 = 14 = 20-6 = 14

Green Area = 14 + 4 = 18 = 14 + 4 = 18

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