3 years ago

The hypotnuse of a 45-45-90 triangle has a length of 10 units whats the length of one of its legs

Mathematics

1 answer:

mamaluj [8]3 years ago

7 0

Answer:

5√2 units ≈ 7.07 units

Step-by-step explanation:

The ratio of leg to hypotenuse in an isosceles right triangle is ...

leg/hypotenuse = 1/√2

Multiplying by the length of the hypotenuse, we have ...

leg = hypotenuse/√2 = 10/√2

leg = 5√2 . . . . rationalize the denominator

The length of one leg is 5√2 units, about 7.07107 units.

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