Answer:
Option D: 10.7 is the correct answer.
Step-by-step explanation:
Given that:
Hypotenuse of right triangle = 14
Height of right triangle = 9
Length of missing side = b
We can solve for missing side length by using Pythagorean theorem;
[tex]a^2+b^2=c^2[/tex]
Here,
a = 9 , c = 14
[tex](9)^2+(b)^2=(14)^2\\81+b^2=196\\[/tex]
Subtracting 81 from both sides
[tex]81-81+b^2=196-81\\b^2=115[/tex]
Taking square root on both sides
[tex]\sqrt{b^2}=\sqrt{115}\\b=10.7[/tex]
The length of missing side is 10.7
Hence,
Option D: 10.7 is the correct answer.
