Answer:
D. 11.6 cm
Step-by-step explanation:
The missing length of the right angled triangle can be calculated using Pythagorean Theorem as shown below:
[tex] c^2 - b^2 = a^2 [/tex]
Where,
a = x cm
b = 11 cm
c = 16 cm
Thus:
[tex] 16^2 - 11^2 = x^2 [/tex]
[tex] 256 - 121 = x^2 [/tex]
[tex] 135 = x^2 [/tex]
[tex] \sqrt{135} = \sqrt{x^2} [/tex]
[tex] \sqrt{135} = x [/tex]
[tex] 11.61895 = x [/tex]
[tex] x = 11.6 cm [/tex] (nearest tenth)
