|←||061 - Pin Board Shapes||062 - A Tricky Inheritance||063 - Mother's Age||→|
A man made a rather unusual stipulation in his will regarding which of his three sons would inherit his estate.
"To the one who can work out the area of this triangular section of my estate, I bestow the entire inheritance."
Now the man has passed away and his sons are at a loss! Finding the area of his perfectly square estate is easy, but no one can find the area of the triangle.
Can you find the answer?
That's right! It's 150 square metres.
There are several different ways to find the answer, but here's an interesting one. By drawing two lines on the diagram as shown in Figure 1, you can see that a and b are the same. By moving it from a to b as shown in Figure 2, you can make two right-angled triangles.
The rest is easy!
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