Question

HELP!!! The length of the unknown side is _____. 6.7 7 10.8 1.73

Answer 1

Answer:

c = $3\sqrt{13}$

Step-by-step explanation:

Step 1:  Use Pythagorean theorem

a^2 + b^2 = c^2

PLUG IN

(9)^2 + (6)^2 = c^2

81 + 36 = c^2

117 = c^2

Step 2:  Square root both sides

$\sqrt{117}$ = $\sqrt{c^2}$

$\sqrt{3^2*13}$ = c

$3\sqrt{13}$ = c

Answer: c = $3\sqrt{13}$

Answer 2

Answer:

c = $\sqrt{117}$

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

c² = 9² + 6² = 81 + 36 = 117 ( take the square root of both sides )

c = $\sqrt{117}$ ≈ 10.8 ( to 1 dec. place )