Question

Find c.

3.3
450
450
с
Write your answer in simplest radical form.
units

Answer 1

c = 3
`√(6)`

Explanation:

triangle is right isosceles so both sides equal 3
`√(3)`

can use pythagorean theorem which is square each leg and set it equal to the hypotenuse (side 'c') squared

(3
`√(3)`)^2 + (3
`√(3)`)^2 = c^2

(9x3) + (9x3) = c^2

27 + 27 = c^2

54 = c^2

c =
`√(54)`

simplify
`√(54)` to equal =
`√(9)` x
`√(6)` which simplies to 3
`√(6)`