CV062 - A Tricky Inheritance (UK)

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For the puzzle appearing in the US version, see CV062 - The Mysterious Note (US)
A Tricky Inheritance
Puzzle Number 062
Puzzle Name A Tricky Inheritance
Picarats Given 40 Picarats
Type Write Answer
Location Manor Parlor
Previous Puzzle CV061 - Pin Board Shapes
Next Puzzle CV063 - How Old Is Mom?

This is the sixty-second puzzle that appears in the UK version of Professor Layton and the Curious Village. To access this puzzle, you must talk to Inspector Chelmey. In order to solve this puzzle, you must determine the area of the triangle.


[edit] Hints

Hint One
    Let's review the method for finding the area of a right-angled triangle. You simply multiply the lengths of the two sides that make the right angle, and divide by 2.

    You can use this method to solve the puzzle.

Hint Two
    The only lengths you know for the square-shaped estate are 10m and 20m, so it should be easy to work things out. From the corner to the 10m point is half the length of a side of the square.

    By drawing extra lines from these points, you can easily find the answer.

Hint Three
    It's difficult to work out the area of the triangle directly, but it's a lot easier to find the areas of the three smaller triangles surrounding it.

    If you find those areas and subtract them from the area of the square, you'll have the area of the large triangle.

    Although there is an even better way...

[edit] Messages

[edit] When Failed

Too bad!

[edit] When Completed

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!

[edit] Solution


The triangle is 150 square meters.

[edit] Progress

2185 Picarats and 117 Hint Coins.

Last edited by Squiggle on 29 December 2015 at 20:24
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