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ХWhat is the length of the hypotenuse of a 45°-45°-904triangle with leg length 573 ?Hypotenuse=V2 Legh=573.72h=2✓Submit53H515

ХWhat is the length of the hypotenuse of a 45°-45°-904triangle with leg length 573 ?Hypotenuse-example-1

1 Answer

5 votes

Answer:

5√6

Step-by-step explanation:

In a 45 - 45 - 90 triangle, the length of the hypotenuse is equal to:

Hypotenuse = √2 Leg

So, replacing Leg by 5√3, we get:

Hypotenuse = √2 x 5√3

Hypotenuse = 5 x √(2 x 3)

Hypotenuse = 5√6

Therefore, the length of the hypotenuse is 5√6

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