What is the length of the hypotenuse in this right triangle? a. 3cm b. 3 (square root) 2cm c. 5 (square root) 3cm d. 9 cm

c = 3 sqrt(2) cm

Step-by-step explanation:

using pythagorean theorem

a^2 + b^2 =c^2  where a and b are the legs and c is the hypotenuse

3^2 + 3^2 = c^2

9+9 =c^2

18 = c^2

take the square root of each side

sqrt(18) = sqrt(c^2)

sqrt(9 *2) = c

sqrt(9) sqrt(2) = c

3 sqrt(2) =c

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get