aleivey23
Answered

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The hypotenuse of a right triangle is twice the length of one of its legs. The length of the other leg is
11
11
feet. Find the length of the three sides of the triangle. Answer exactly or round to 2 decimal places.

The Hypotenuse Of A Right Triangle Is Twice The Length Of One Of Its Legs The Length Of The Other Leg Is 11 11 Feet Find The Length Of The Three Sides Of The Tr class=

Sagot :

Detailed solutions attached!!~

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  • Hypotenuse = 22 feet
  • Perpendicular = 11 feet
  • Base = 19 feet
View image Аноним
mhanifa

Answer:

  • 6.35, 11, 12.7

Step-by-step explanation:

This is a 30° - 60° - 90° right triangle.

We know the ratio of sides:

  • a : b : c = 1 : √3 : 2

We have b = 11

Find the length of a and c:

  • b = √3a  ⇒ 11 = a√3 ⇒ a = 11√3/3 = 6.35
  • c = 2a = 2*6.35 = 12.7
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