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Teaching math in today's world?

Wander2023 5 Apr 29
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I failed math when I corrected my math teacher. She said pie are square, I reminded her that pie are round.

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I hate to play the devil’s advocate, ( Ok, I revel in the role ) but the instructor fails to mention if it is a “right” triangle or not. If it is an isosceles triangle or an equilateral triangle, the theorem is useless!?! Therefore everyone in the room is correct to question his statement…..🧐

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If the square on the hypotenuse is equal to the sum of the squares on the other two sides of a right angled isosceles triangle then how many times does the triangle fit into the larger figure comprising the triangle and the squares?

Interesting question. Sadly though, I just did the values for the Pythagorean triples 3.4.5 and 5.12.13 and perhaps as you may expect they came out differently, ( Nine and two thirds, and twelve and four fifteenths, including the area of the original triangle. ) so it would seen that there is no constant value.

@Fernapple

Isosceles.

@waitingforgodo Every Isosceles triangle is made up of two identical right angled triangles.

@Fernapple

Every isosceles triangle has two sides each to x and a hypotenuse equal to the x times the square root of 2.

The ratio of the sides is 1: 1: root 2

The ratio of the square on the hypotenuse equals 2 square units and the ratio of the squares on the other twp sides equal 1 square unit each.

The area of the triangle has an equivalent ratio of 1/2

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