JaykeG351500 JaykeG351500
  • 26-10-2022
  • Mathematics
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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 4545904triangle with leg length 573 HypotenuseV2 Legh57372h2Submit53H515 class=

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SerenitieL670655 SerenitieL670655
  • 26-10-2022

Answer:

5√6

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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