Question

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

Answer 1

Answer:

c = 3$\sqrt{6}$

Step-by-step explanation:

triangle is right isosceles so both sides equal 3$\sqrt{3}$

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

(3$\sqrt{3}$)^2 +  (3$\sqrt{3}$)^2 = c^2

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

27 + 27 = c^2

54 = c^2

c = $\sqrt{54}$

simplify  $\sqrt{54}$ to equal = $\sqrt{9}$ x $\sqrt{6}$ which simplies to 3$\sqrt{6}$