Question

The length of one leg of an isosceles right triangle is 3 ft . what is the perimeter of the triangle

Answer 1

Perimeter = 6+
`3√(2)` ft

Explanation:

Since given triangle is isosceles and right therefore two equals sides are the legs of right triangle given 3 and third side Hypotenuse say (x )

Using Pythagorean theorem , we get

`x^(2) = 3^(2) +3^(2) \\ = 9 + 9 \\ = 18 \\x^2 = 18 \\`

taking square root both sides ,we get

`x = 3√(2)`

Three sides of given triangles are

3 ft ,3ft and
`3√(2)`

Perimeter is given by = sum of all three sides = 3+3+
`3√(2)`

= 6 +
`3√(2)` ft

Answer 2

The hypotenuse is given by

`3^(2) + 3^(2) =Hypotenuse squared 9+9= h^(2) h= √(18)`
Perimeter=(3+3+
`√(18)`)feet
P=6+3
`√(2) ) feet`