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ACT Preparation / Unit 13   ACT 1225 short lesson, about 20 seconds

The 45-45-90 Triangle

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The idea

In a 45-45-90 triangle, the legs are equal and the hypotenuse is a leg times √2: the sides are in the ratio 1 : 1 : √2.

In practice

Legs of 7 give a hypotenuse of 7√2. A square with side 5 has a diagonal of 5√2.

Where people slip

From the hypotenuse, divide by √2 to get a leg: 10 becomes 10/√2 = 5√2.

Your place on the trail

Every lesson rests on earlier ones and opens later ones. Tap any to jump.

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