Question

triangle has side lengths 10 feet, ⎯⎯⎯⎯⎯⎯√square root of 205 feet, and ⎯⎯⎯⎯⎯⎯√square root of 105 feet. Is this a right triangle? Explain.

Answer 1

Answer:THERE IS YOUR ANNSWER HOPE ITS HELPFUL

Step-by-step explanation:the hypotenuse of a right triangle is three times the length of one of the legs. the length of the other leg is the square root of 32 ft.

find the leg and the hypotenuse.

:

Let x = one of the legs

then

3x = the hypotenuse

:

x^2 + sqrt%2832%29^2 = (3x)^2

:

x^2 + 32 = 9x^2

:

32 = 9x^2 - x^2

:

32 = 8x^2

x^2 = 32%2F8

x^2 = 4

x = 2 is the one side

and

3(2) = 6 is the hypotenuse

:

:

Check: 4 + 32 = 36